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Finding the Fourth Proportional to 5,658.39, 7,808.93 and 3,140.60

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Solution

The fourth proportional to 5,658.39, 7,808.93 and 3,140.60 is: 4,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.39 : 7,808.93 = 3,140.60 : x
  2. Step 2: Convert to fraction form
    5,658.39/7,808.93 = 3,140.60/x
  3. Step 3: Cross multiply
    5,658.39x = 7,808.93 × 3,140.60
  4. Step 4: Simplify right side
    5,658.39x = 24,524,752.93
  5. Step 5: Solve for x
    x = 24,524,752.93/5,658.39
  6. Step 6: Final answer
    x = 4,334.23

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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.