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Finding the Fourth Proportional to 4,488.04, 6,729 and 1,564.76

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Solution

The fourth proportional to 4,488.04, 6,729 and 1,564.76 is: 2,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.04 : 6,729 = 1,564.76 : x
  2. Step 2: Convert to fraction form
    4,488.04/6,729 = 1,564.76/x
  3. Step 3: Cross multiply
    4,488.04x = 6,729 × 1,564.76
  4. Step 4: Simplify right side
    4,488.04x = 10,529,270.04
  5. Step 5: Solve for x
    x = 10,529,270.04/4,488.04
  6. Step 6: Final answer
    x = 2,346.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.