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Finding the Fourth Proportional to 3,517.98, 5,275.35 and 1,570.20

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Solution

The fourth proportional to 3,517.98, 5,275.35 and 1,570.20 is: 2,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.98 : 5,275.35 = 1,570.20 : x
  2. Step 2: Convert to fraction form
    3,517.98/5,275.35 = 1,570.20/x
  3. Step 3: Cross multiply
    3,517.98x = 5,275.35 × 1,570.20
  4. Step 4: Simplify right side
    3,517.98x = 8,283,354.57
  5. Step 5: Solve for x
    x = 8,283,354.57/3,517.98
  6. Step 6: Final answer
    x = 2,354.58

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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.