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Finding the Fourth Proportional to 5,648.47, 7,794.79 and 3,130.57

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Solution

The fourth proportional to 5,648.47, 7,794.79 and 3,130.57 is: 4,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.47 : 7,794.79 = 3,130.57 : x
  2. Step 2: Convert to fraction form
    5,648.47/7,794.79 = 3,130.57/x
  3. Step 3: Cross multiply
    5,648.47x = 7,794.79 × 3,130.57
  4. Step 4: Simplify right side
    5,648.47x = 24,402,135.73
  5. Step 5: Solve for x
    x = 24,402,135.73/5,648.47
  6. Step 6: Final answer
    x = 4,320.13

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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.