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Finding the Fourth Proportional to 5,270.28, 7,864.50 and 4,570.44

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Solution

The fourth proportional to 5,270.28, 7,864.50 and 4,570.44 is: 6,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.28 : 7,864.50 = 4,570.44 : x
  2. Step 2: Convert to fraction form
    5,270.28/7,864.50 = 4,570.44/x
  3. Step 3: Cross multiply
    5,270.28x = 7,864.50 × 4,570.44
  4. Step 4: Simplify right side
    5,270.28x = 35,944,225.38
  5. Step 5: Solve for x
    x = 35,944,225.38/5,270.28
  6. Step 6: Final answer
    x = 6,820.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.