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Finding the Fourth Proportional to 5,803.47, 7,984.98 and 5,640.12

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Solution

The fourth proportional to 5,803.47, 7,984.98 and 5,640.12 is: 7,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.47 : 7,984.98 = 5,640.12 : x
  2. Step 2: Convert to fraction form
    5,803.47/7,984.98 = 5,640.12/x
  3. Step 3: Cross multiply
    5,803.47x = 7,984.98 × 5,640.12
  4. Step 4: Simplify right side
    5,803.47x = 45,036,245.40
  5. Step 5: Solve for x
    x = 45,036,245.40/5,803.47
  6. Step 6: Final answer
    x = 7,760.23

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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.