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Finding the Fourth Proportional to 5,177.64, 7,758.79 and 3,802.92

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Solution

The fourth proportional to 5,177.64, 7,758.79 and 3,802.92 is: 5,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.64 : 7,758.79 = 3,802.92 : x
  2. Step 2: Convert to fraction form
    5,177.64/7,758.79 = 3,802.92/x
  3. Step 3: Cross multiply
    5,177.64x = 7,758.79 × 3,802.92
  4. Step 4: Simplify right side
    5,177.64x = 29,506,070.12
  5. Step 5: Solve for x
    x = 29,506,070.12/5,177.64
  6. Step 6: Final answer
    x = 5,698.74

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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.