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Finding the Fourth Proportional to 3,503.25, 5,254.98 and 1,310.78

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Solution

The fourth proportional to 3,503.25, 5,254.98 and 1,310.78 is: 1,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.25 : 5,254.98 = 1,310.78 : x
  2. Step 2: Convert to fraction form
    3,503.25/5,254.98 = 1,310.78/x
  3. Step 3: Cross multiply
    3,503.25x = 5,254.98 × 1,310.78
  4. Step 4: Simplify right side
    3,503.25x = 6,888,130.91
  5. Step 5: Solve for x
    x = 6,888,130.91/3,503.25
  6. Step 6: Final answer
    x = 1,966.21

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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.