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Finding the Fourth Proportional to 5,599.64, 7,726.92 and 4,025

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Solution

The fourth proportional to 5,599.64, 7,726.92 and 4,025 is: 5,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.64 : 7,726.92 = 4,025 : x
  2. Step 2: Convert to fraction form
    5,599.64/7,726.92 = 4,025/x
  3. Step 3: Cross multiply
    5,599.64x = 7,726.92 × 4,025
  4. Step 4: Simplify right side
    5,599.64x = 31,100,853
  5. Step 5: Solve for x
    x = 31,100,853/5,599.64
  6. Step 6: Final answer
    x = 5,554.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.