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Finding the Fourth Proportional to 5,498.67, 7,587.02 and 3,140.36

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Solution

The fourth proportional to 5,498.67, 7,587.02 and 3,140.36 is: 4,333.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.67 : 7,587.02 = 3,140.36 : x
  2. Step 2: Convert to fraction form
    5,498.67/7,587.02 = 3,140.36/x
  3. Step 3: Cross multiply
    5,498.67x = 7,587.02 × 3,140.36
  4. Step 4: Simplify right side
    5,498.67x = 23,825,920.49
  5. Step 5: Solve for x
    x = 23,825,920.49/5,498.67
  6. Step 6: Final answer
    x = 4,333.03

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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.