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Finding the Fourth Proportional to 5,831.94, 8,747.87 and 2,710.22

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Solution

The fourth proportional to 5,831.94, 8,747.87 and 2,710.22 is: 4,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.94 : 8,747.87 = 2,710.22 : x
  2. Step 2: Convert to fraction form
    5,831.94/8,747.87 = 2,710.22/x
  3. Step 3: Cross multiply
    5,831.94x = 8,747.87 × 2,710.22
  4. Step 4: Simplify right side
    5,831.94x = 23,708,605.10
  5. Step 5: Solve for x
    x = 23,708,605.10/5,831.94
  6. Step 6: Final answer
    x = 4,065.30

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1.5x scale

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.