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Finding the Fourth Proportional to 5,130.60, 7,687.80 and 3,818.40

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Solution

The fourth proportional to 5,130.60, 7,687.80 and 3,818.40 is: 5,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.60 : 7,687.80 = 3,818.40 : x
  2. Step 2: Convert to fraction form
    5,130.60/7,687.80 = 3,818.40/x
  3. Step 3: Cross multiply
    5,130.60x = 7,687.80 × 3,818.40
  4. Step 4: Simplify right side
    5,130.60x = 29,355,095.52
  5. Step 5: Solve for x
    x = 29,355,095.52/5,130.60
  6. Step 6: Final answer
    x = 5,721.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.