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Finding the Fourth Proportional to 4,456.07, 6,684.02 and 1,534.31

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Solution

The fourth proportional to 4,456.07, 6,684.02 and 1,534.31 is: 2,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.07 : 6,684.02 = 1,534.31 : x
  2. Step 2: Convert to fraction form
    4,456.07/6,684.02 = 1,534.31/x
  3. Step 3: Cross multiply
    4,456.07x = 6,684.02 × 1,534.31
  4. Step 4: Simplify right side
    4,456.07x = 10,255,358.73
  5. Step 5: Solve for x
    x = 10,255,358.73/4,456.07
  6. Step 6: Final answer
    x = 2,301.44

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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.