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Finding the Fourth Proportional to 5,740.57, 8,605.05 and 2,404.18

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Solution

The fourth proportional to 5,740.57, 8,605.05 and 2,404.18 is: 3,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.57 : 8,605.05 = 2,404.18 : x
  2. Step 2: Convert to fraction form
    5,740.57/8,605.05 = 2,404.18/x
  3. Step 3: Cross multiply
    5,740.57x = 8,605.05 × 2,404.18
  4. Step 4: Simplify right side
    5,740.57x = 20,688,089.11
  5. Step 5: Solve for x
    x = 20,688,089.11/5,740.57
  6. Step 6: Final answer
    x = 3,603.84

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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.