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Finding the Fourth Proportional to 5,831.68, 8,043.72 and 3,472

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Solution

The fourth proportional to 5,831.68, 8,043.72 and 3,472 is: 4,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.68 : 8,043.72 = 3,472 : x
  2. Step 2: Convert to fraction form
    5,831.68/8,043.72 = 3,472/x
  3. Step 3: Cross multiply
    5,831.68x = 8,043.72 × 3,472
  4. Step 4: Simplify right side
    5,831.68x = 27,927,795.84
  5. Step 5: Solve for x
    x = 27,927,795.84/5,831.68
  6. Step 6: Final answer
    x = 4,788.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.