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Finding the Fourth Proportional to 4,070.64, 5,614.62 and 3,935.16

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Solution

The fourth proportional to 4,070.64, 5,614.62 and 3,935.16 is: 5,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.64 : 5,614.62 = 3,935.16 : x
  2. Step 2: Convert to fraction form
    4,070.64/5,614.62 = 3,935.16/x
  3. Step 3: Cross multiply
    4,070.64x = 5,614.62 × 3,935.16
  4. Step 4: Simplify right side
    4,070.64x = 22,094,428.04
  5. Step 5: Solve for x
    x = 22,094,428.04/4,070.64
  6. Step 6: Final answer
    x = 5,427.75

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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.