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Finding the Fourth Proportional to 3,730.14, 5,592.24 and 2,415.24

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Solution

The fourth proportional to 3,730.14, 5,592.24 and 2,415.24 is: 3,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.14 : 5,592.24 = 2,415.24 : x
  2. Step 2: Convert to fraction form
    3,730.14/5,592.24 = 2,415.24/x
  3. Step 3: Cross multiply
    3,730.14x = 5,592.24 × 2,415.24
  4. Step 4: Simplify right side
    3,730.14x = 13,506,601.74
  5. Step 5: Solve for x
    x = 13,506,601.74/3,730.14
  6. Step 6: Final answer
    x = 3,620.94

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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.