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Finding the Fourth Proportional to 5,498.67, 7,587.67 and 3,260.17

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Solution

The fourth proportional to 5,498.67, 7,587.67 and 3,260.17 is: 4,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.67 : 7,587.67 = 3,260.17 : x
  2. Step 2: Convert to fraction form
    5,498.67/7,587.67 = 3,260.17/x
  3. Step 3: Cross multiply
    5,498.67x = 7,587.67 × 3,260.17
  4. Step 4: Simplify right side
    5,498.67x = 24,737,094.10
  5. Step 5: Solve for x
    x = 24,737,094.10/5,498.67
  6. Step 6: Final answer
    x = 4,498.74

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1.5x scale

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.