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Finding the Fourth Proportional to 5,675.17, 7,831.20 and 5,257.21

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Solution

The fourth proportional to 5,675.17, 7,831.20 and 5,257.21 is: 7,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.17 : 7,831.20 = 5,257.21 : x
  2. Step 2: Convert to fraction form
    5,675.17/7,831.20 = 5,257.21/x
  3. Step 3: Cross multiply
    5,675.17x = 7,831.20 × 5,257.21
  4. Step 4: Simplify right side
    5,675.17x = 41,170,262.95
  5. Step 5: Solve for x
    x = 41,170,262.95/5,675.17
  6. Step 6: Final answer
    x = 7,254.45

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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.