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Finding the Fourth Proportional to 3,116.64, 4,666.59 and 2,285.58

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Solution

The fourth proportional to 3,116.64, 4,666.59 and 2,285.58 is: 3,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.64 : 4,666.59 = 2,285.58 : x
  2. Step 2: Convert to fraction form
    3,116.64/4,666.59 = 2,285.58/x
  3. Step 3: Cross multiply
    3,116.64x = 4,666.59 × 2,285.58
  4. Step 4: Simplify right side
    3,116.64x = 10,665,864.77
  5. Step 5: Solve for x
    x = 10,665,864.77/3,116.64
  6. Step 6: Final answer
    x = 3,422.23

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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.