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Finding the Fourth Proportional to 3,116.32, 4,666.32 and 2,562.40

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Solution

The fourth proportional to 3,116.32, 4,666.32 and 2,562.40 is: 3,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.32 : 4,666.32 = 2,562.40 : x
  2. Step 2: Convert to fraction form
    3,116.32/4,666.32 = 2,562.40/x
  3. Step 3: Cross multiply
    3,116.32x = 4,666.32 × 2,562.40
  4. Step 4: Simplify right side
    3,116.32x = 11,956,978.37
  5. Step 5: Solve for x
    x = 11,956,978.37/3,116.32
  6. Step 6: Final answer
    x = 3,836.89

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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.