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Finding the Fourth Proportional to 6,402.58, 8,833.71 and 4,167.74

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Solution

The fourth proportional to 6,402.58, 8,833.71 and 4,167.74 is: 5,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.58 : 8,833.71 = 4,167.74 : x
  2. Step 2: Convert to fraction form
    6,402.58/8,833.71 = 4,167.74/x
  3. Step 3: Cross multiply
    6,402.58x = 8,833.71 × 4,167.74
  4. Step 4: Simplify right side
    6,402.58x = 36,816,606.52
  5. Step 5: Solve for x
    x = 36,816,606.52/6,402.58
  6. Step 6: Final answer
    x = 5,750.28

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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.