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Finding the Fourth Proportional to 5,727.66, 8,590.95 and 1,831.02

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Solution

The fourth proportional to 5,727.66, 8,590.95 and 1,831.02 is: 2,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.66 : 8,590.95 = 1,831.02 : x
  2. Step 2: Convert to fraction form
    5,727.66/8,590.95 = 1,831.02/x
  3. Step 3: Cross multiply
    5,727.66x = 8,590.95 × 1,831.02
  4. Step 4: Simplify right side
    5,727.66x = 15,730,201.27
  5. Step 5: Solve for x
    x = 15,730,201.27/5,727.66
  6. Step 6: Final answer
    x = 2,746.36

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