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Finding the Fourth Proportional to 5,762.76, 7,952.71 and 3,404.90

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Solution

The fourth proportional to 5,762.76, 7,952.71 and 3,404.90 is: 4,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.76 : 7,952.71 = 3,404.90 : x
  2. Step 2: Convert to fraction form
    5,762.76/7,952.71 = 3,404.90/x
  3. Step 3: Cross multiply
    5,762.76x = 7,952.71 × 3,404.90
  4. Step 4: Simplify right side
    5,762.76x = 27,078,142.52
  5. Step 5: Solve for x
    x = 27,078,142.52/5,762.76
  6. Step 6: Final answer
    x = 4,698.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.