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Finding the Fourth Proportional to 5,178.19, 7,767.24 and 3,098.77

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Solution

The fourth proportional to 5,178.19, 7,767.24 and 3,098.77 is: 4,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.19 : 7,767.24 = 3,098.77 : x
  2. Step 2: Convert to fraction form
    5,178.19/7,767.24 = 3,098.77/x
  3. Step 3: Cross multiply
    5,178.19x = 7,767.24 × 3,098.77
  4. Step 4: Simplify right side
    5,178.19x = 24,068,851.46
  5. Step 5: Solve for x
    x = 24,068,851.46/5,178.19
  6. Step 6: Final answer
    x = 4,648.13

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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.