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Finding the Fourth Proportional to 5,658.18, 7,807.57 and 3,139.94

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Solution

The fourth proportional to 5,658.18, 7,807.57 and 3,139.94 is: 4,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.18 : 7,807.57 = 3,139.94 : x
  2. Step 2: Convert to fraction form
    5,658.18/7,807.57 = 3,139.94/x
  3. Step 3: Cross multiply
    5,658.18x = 7,807.57 × 3,139.94
  4. Step 4: Simplify right side
    5,658.18x = 24,515,302.09
  5. Step 5: Solve for x
    x = 24,515,302.09/5,658.18
  6. Step 6: Final answer
    x = 4,332.72

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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.