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Finding the Fourth Proportional to 3,562.92, 4,918.74 and 2,386

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Solution

The fourth proportional to 3,562.92, 4,918.74 and 2,386 is: 3,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.92 : 4,918.74 = 2,386 : x
  2. Step 2: Convert to fraction form
    3,562.92/4,918.74 = 2,386/x
  3. Step 3: Cross multiply
    3,562.92x = 4,918.74 × 2,386
  4. Step 4: Simplify right side
    3,562.92x = 11,736,113.64
  5. Step 5: Solve for x
    x = 11,736,113.64/3,562.92
  6. Step 6: Final answer
    x = 3,293.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.