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Finding the Fourth Proportional to 5,672.35, 7,831.65 and 4,343.68

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Solution

The fourth proportional to 5,672.35, 7,831.65 and 4,343.68 is: 5,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.35 : 7,831.65 = 4,343.68 : x
  2. Step 2: Convert to fraction form
    5,672.35/7,831.65 = 4,343.68/x
  3. Step 3: Cross multiply
    5,672.35x = 7,831.65 × 4,343.68
  4. Step 4: Simplify right side
    5,672.35x = 34,018,181.47
  5. Step 5: Solve for x
    x = 34,018,181.47/5,672.35
  6. Step 6: Final answer
    x = 5,997.19

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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.