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Finding the Fourth Proportional to 5,827.92, 8,044.56 and 4,948.80

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Solution

The fourth proportional to 5,827.92, 8,044.56 and 4,948.80 is: 6,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.92 : 8,044.56 = 4,948.80 : x
  2. Step 2: Convert to fraction form
    5,827.92/8,044.56 = 4,948.80/x
  3. Step 3: Cross multiply
    5,827.92x = 8,044.56 × 4,948.80
  4. Step 4: Simplify right side
    5,827.92x = 39,810,918.53
  5. Step 5: Solve for x
    x = 39,810,918.53/5,827.92
  6. Step 6: Final answer
    x = 6,831.07

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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.