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Finding the Fourth Proportional to 4,576.47, 6,866.08 and 2,386.74

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Solution

The fourth proportional to 4,576.47, 6,866.08 and 2,386.74 is: 3,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.47 : 6,866.08 = 2,386.74 : x
  2. Step 2: Convert to fraction form
    4,576.47/6,866.08 = 2,386.74/x
  3. Step 3: Cross multiply
    4,576.47x = 6,866.08 × 2,386.74
  4. Step 4: Simplify right side
    4,576.47x = 16,387,535.85
  5. Step 5: Solve for x
    x = 16,387,535.85/4,576.47
  6. Step 6: Final answer
    x = 3,580.82

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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.