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Finding the Fourth Proportional to 3,411.40, 4,709.38 and 2,154.28

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Solution

The fourth proportional to 3,411.40, 4,709.38 and 2,154.28 is: 2,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.40 : 4,709.38 = 2,154.28 : x
  2. Step 2: Convert to fraction form
    3,411.40/4,709.38 = 2,154.28/x
  3. Step 3: Cross multiply
    3,411.40x = 4,709.38 × 2,154.28
  4. Step 4: Simplify right side
    3,411.40x = 10,145,323.15
  5. Step 5: Solve for x
    x = 10,145,323.15/3,411.40
  6. Step 6: Final answer
    x = 2,973.95

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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.