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Finding the Fourth Proportional to 4,070.32, 5,616.76 and 2,414

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Solution

The fourth proportional to 4,070.32, 5,616.76 and 2,414 is: 3,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.32 : 5,616.76 = 2,414 : x
  2. Step 2: Convert to fraction form
    4,070.32/5,616.76 = 2,414/x
  3. Step 3: Cross multiply
    4,070.32x = 5,616.76 × 2,414
  4. Step 4: Simplify right side
    4,070.32x = 13,558,858.64
  5. Step 5: Solve for x
    x = 13,558,858.64/4,070.32
  6. Step 6: Final answer
    x = 3,331.15

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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.