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Finding the Fourth Proportional to 5,680.80, 8,510.04 and 5,061.60

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Solution

The fourth proportional to 5,680.80, 8,510.04 and 5,061.60 is: 7,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.80 : 8,510.04 = 5,061.60 : x
  2. Step 2: Convert to fraction form
    5,680.80/8,510.04 = 5,061.60/x
  3. Step 3: Cross multiply
    5,680.80x = 8,510.04 × 5,061.60
  4. Step 4: Simplify right side
    5,680.80x = 43,074,418.46
  5. Step 5: Solve for x
    x = 43,074,418.46/5,680.80
  6. Step 6: Final answer
    x = 7,582.46

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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.