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Finding the Fourth Proportional to 5,831.28, 8,746.90 and 1,448.71

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Solution

The fourth proportional to 5,831.28, 8,746.90 and 1,448.71 is: 2,173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.28 : 8,746.90 = 1,448.71 : x
  2. Step 2: Convert to fraction form
    5,831.28/8,746.90 = 1,448.71/x
  3. Step 3: Cross multiply
    5,831.28x = 8,746.90 × 1,448.71
  4. Step 4: Simplify right side
    5,831.28x = 12,671,696.01
  5. Step 5: Solve for x
    x = 12,671,696.01/5,831.28
  6. Step 6: Final answer
    x = 2,173.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.