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Finding the Fourth Proportional to 3,503.32, 5,256.10 and 1,038.16

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Solution

The fourth proportional to 3,503.32, 5,256.10 and 1,038.16 is: 1,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.32 : 5,256.10 = 1,038.16 : x
  2. Step 2: Convert to fraction form
    3,503.32/5,256.10 = 1,038.16/x
  3. Step 3: Cross multiply
    3,503.32x = 5,256.10 × 1,038.16
  4. Step 4: Simplify right side
    3,503.32x = 5,456,672.78
  5. Step 5: Solve for x
    x = 5,456,672.78/3,503.32
  6. Step 6: Final answer
    x = 1,557.57

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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.