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Finding the Fourth Proportional to 3,577.60, 5,366.13 and 1,821.50

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Solution

The fourth proportional to 3,577.60, 5,366.13 and 1,821.50 is: 2,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.60 : 5,366.13 = 1,821.50 : x
  2. Step 2: Convert to fraction form
    3,577.60/5,366.13 = 1,821.50/x
  3. Step 3: Cross multiply
    3,577.60x = 5,366.13 × 1,821.50
  4. Step 4: Simplify right side
    3,577.60x = 9,774,432.69
  5. Step 5: Solve for x
    x = 9,774,432.69/3,577.60
  6. Step 6: Final answer
    x = 2,732.12

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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.