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Finding the Fourth Proportional to 3,710.17, 5,564.35 and 1,630.70

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Solution

The fourth proportional to 3,710.17, 5,564.35 and 1,630.70 is: 2,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.17 : 5,564.35 = 1,630.70 : x
  2. Step 2: Convert to fraction form
    3,710.17/5,564.35 = 1,630.70/x
  3. Step 3: Cross multiply
    3,710.17x = 5,564.35 × 1,630.70
  4. Step 4: Simplify right side
    3,710.17x = 9,073,771.46
  5. Step 5: Solve for x
    x = 9,073,771.46/3,710.17
  6. Step 6: Final answer
    x = 2,445.65

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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.