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Finding the Fourth Proportional to 3,503.12, 5,253.59 and 1,038.29

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Solution

The fourth proportional to 3,503.12, 5,253.59 and 1,038.29 is: 1,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.12 : 5,253.59 = 1,038.29 : x
  2. Step 2: Convert to fraction form
    3,503.12/5,253.59 = 1,038.29/x
  3. Step 3: Cross multiply
    3,503.12x = 5,253.59 × 1,038.29
  4. Step 4: Simplify right side
    3,503.12x = 5,454,726.29
  5. Step 5: Solve for x
    x = 5,454,726.29/3,503.12
  6. Step 6: Final answer
    x = 1,557.11

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