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Finding the Fourth Proportional to 4,666.26, 7,001.76 and 2,585.88

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Solution

The fourth proportional to 4,666.26, 7,001.76 and 2,585.88 is: 3,880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.26 : 7,001.76 = 2,585.88 : x
  2. Step 2: Convert to fraction form
    4,666.26/7,001.76 = 2,585.88/x
  3. Step 3: Cross multiply
    4,666.26x = 7,001.76 × 2,585.88
  4. Step 4: Simplify right side
    4,666.26x = 18,105,711.15
  5. Step 5: Solve for x
    x = 18,105,711.15/4,666.26
  6. Step 6: Final answer
    x = 3,880.13

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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.