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Finding the Fourth Proportional to 5,695.48, 7,864.56 and 3,574.54

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Solution

The fourth proportional to 5,695.48, 7,864.56 and 3,574.54 is: 4,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.48 : 7,864.56 = 3,574.54 : x
  2. Step 2: Convert to fraction form
    5,695.48/7,864.56 = 3,574.54/x
  3. Step 3: Cross multiply
    5,695.48x = 7,864.56 × 3,574.54
  4. Step 4: Simplify right side
    5,695.48x = 28,112,184.30
  5. Step 5: Solve for x
    x = 28,112,184.30/5,695.48
  6. Step 6: Final answer
    x = 4,935.88

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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.