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Finding the Fourth Proportional to 6,429.66, 8,874.90 and 4,187.58

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Solution

The fourth proportional to 6,429.66, 8,874.90 and 4,187.58 is: 5,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.66 : 8,874.90 = 4,187.58 : x
  2. Step 2: Convert to fraction form
    6,429.66/8,874.90 = 4,187.58/x
  3. Step 3: Cross multiply
    6,429.66x = 8,874.90 × 4,187.58
  4. Step 4: Simplify right side
    6,429.66x = 37,164,353.74
  5. Step 5: Solve for x
    x = 37,164,353.74/6,429.66
  6. Step 6: Final answer
    x = 5,780.14

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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.