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Finding the Fourth Proportional to 3,935.28, 5,430.14 and 2,167.00

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Solution

The fourth proportional to 3,935.28, 5,430.14 and 2,167.00 is: 2,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.28 : 5,430.14 = 2,167.00 : x
  2. Step 2: Convert to fraction form
    3,935.28/5,430.14 = 2,167.00/x
  3. Step 3: Cross multiply
    3,935.28x = 5,430.14 × 2,167.00
  4. Step 4: Simplify right side
    3,935.28x = 11,767,127.64
  5. Step 5: Solve for x
    x = 11,767,127.64/3,935.28
  6. Step 6: Final answer
    x = 2,990.16

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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.