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Finding the Fourth Proportional to 2,709,854.06, 3,739,329.16 and 1,564,303.46

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Solution

The fourth proportional to 2,709,854.06, 3,739,329.16 and 1,564,303.46 is: 2,158,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,854.06 : 3,739,329.16 = 1,564,303.46 : x
  2. Step 2: Convert to fraction form
    2,709,854.06/3,739,329.16 = 1,564,303.46/x
  3. Step 3: Cross multiply
    2,709,854.06x = 3,739,329.16 × 1,564,303.46
  4. Step 4: Simplify right side
    2,709,854.06x = 5,849,445,520,459.49
  5. Step 5: Solve for x
    x = 5,849,445,520,459.49/2,709,854.06
  6. Step 6: Final answer
    x = 2,158,583.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.