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Finding the Fourth Proportional to 5,498.74, 7,587.84 and 3,260.44

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Solution

The fourth proportional to 5,498.74, 7,587.84 and 3,260.44 is: 4,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.74 : 7,587.84 = 3,260.44 : x
  2. Step 2: Convert to fraction form
    5,498.74/7,587.84 = 3,260.44/x
  3. Step 3: Cross multiply
    5,498.74x = 7,587.84 × 3,260.44
  4. Step 4: Simplify right side
    5,498.74x = 24,739,697.05
  5. Step 5: Solve for x
    x = 24,739,697.05/5,498.74
  6. Step 6: Final answer
    x = 4,499.16

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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.