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Finding the Fourth Proportional to 4,581.88, 6,866.70 and 2,386

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Solution

The fourth proportional to 4,581.88, 6,866.70 and 2,386 is: 3,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581.88 : 6,866.70 = 2,386 : x
  2. Step 2: Convert to fraction form
    4,581.88/6,866.70 = 2,386/x
  3. Step 3: Cross multiply
    4,581.88x = 6,866.70 × 2,386
  4. Step 4: Simplify right side
    4,581.88x = 16,383,946.20
  5. Step 5: Solve for x
    x = 16,383,946.20/4,581.88
  6. Step 6: Final answer
    x = 3,575.81

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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.