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Finding the Fourth Proportional to 3,182.90, 4,776 and 2,312.58

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Solution

The fourth proportional to 3,182.90, 4,776 and 2,312.58 is: 3,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.90 : 4,776 = 2,312.58 : x
  2. Step 2: Convert to fraction form
    3,182.90/4,776 = 2,312.58/x
  3. Step 3: Cross multiply
    3,182.90x = 4,776 × 2,312.58
  4. Step 4: Simplify right side
    3,182.90x = 11,044,882.08
  5. Step 5: Solve for x
    x = 11,044,882.08/3,182.90
  6. Step 6: Final answer
    x = 3,470.07

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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.