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Finding the Fourth Proportional to 3,707.47, 5,567.57 and 3,291.94

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Solution

The fourth proportional to 3,707.47, 5,567.57 and 3,291.94 is: 4,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.47 : 5,567.57 = 3,291.94 : x
  2. Step 2: Convert to fraction form
    3,707.47/5,567.57 = 3,291.94/x
  3. Step 3: Cross multiply
    3,707.47x = 5,567.57 × 3,291.94
  4. Step 4: Simplify right side
    3,707.47x = 18,328,089.93
  5. Step 5: Solve for x
    x = 18,328,089.93/3,707.47
  6. Step 6: Final answer
    x = 4,943.56

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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.