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Finding the Fourth Proportional to 5,498.88, 7,589.28 and 4,328.76

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Solution

The fourth proportional to 5,498.88, 7,589.28 and 4,328.76 is: 5,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.88 : 7,589.28 = 4,328.76 : x
  2. Step 2: Convert to fraction form
    5,498.88/7,589.28 = 4,328.76/x
  3. Step 3: Cross multiply
    5,498.88x = 7,589.28 × 4,328.76
  4. Step 4: Simplify right side
    5,498.88x = 32,852,171.69
  5. Step 5: Solve for x
    x = 32,852,171.69/5,498.88
  6. Step 6: Final answer
    x = 5,974.34

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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.