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Finding the Fourth Proportional to 5,497.42, 7,587.82 and 3,140.93

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Solution

The fourth proportional to 5,497.42, 7,587.82 and 3,140.93 is: 4,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.42 : 7,587.82 = 3,140.93 : x
  2. Step 2: Convert to fraction form
    5,497.42/7,587.82 = 3,140.93/x
  3. Step 3: Cross multiply
    5,497.42x = 7,587.82 × 3,140.93
  4. Step 4: Simplify right side
    5,497.42x = 23,832,811.47
  5. Step 5: Solve for x
    x = 23,832,811.47/5,497.42
  6. Step 6: Final answer
    x = 4,335.27

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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.