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Finding the Fourth Proportional to 5,497.98, 7,587.18 and 3,140.10

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Solution

The fourth proportional to 5,497.98, 7,587.18 and 3,140.10 is: 4,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.98 : 7,587.18 = 3,140.10 : x
  2. Step 2: Convert to fraction form
    5,497.98/7,587.18 = 3,140.10/x
  3. Step 3: Cross multiply
    5,497.98x = 7,587.18 × 3,140.10
  4. Step 4: Simplify right side
    5,497.98x = 23,824,503.92
  5. Step 5: Solve for x
    x = 23,824,503.92/5,497.98
  6. Step 6: Final answer
    x = 4,333.32

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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.