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Finding the Fourth Proportional to 3,713.14, 5,569.71 and 1,522.90

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Solution

The fourth proportional to 3,713.14, 5,569.71 and 1,522.90 is: 2,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.14 : 5,569.71 = 1,522.90 : x
  2. Step 2: Convert to fraction form
    3,713.14/5,569.71 = 1,522.90/x
  3. Step 3: Cross multiply
    3,713.14x = 5,569.71 × 1,522.90
  4. Step 4: Simplify right side
    3,713.14x = 8,482,111.36
  5. Step 5: Solve for x
    x = 8,482,111.36/3,713.14
  6. Step 6: Final answer
    x = 2,284.35

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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.