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Finding the Fourth Proportional to 5,831.16, 8,750.40 and 5,457.57

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Solution

The fourth proportional to 5,831.16, 8,750.40 and 5,457.57 is: 8,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.16 : 8,750.40 = 5,457.57 : x
  2. Step 2: Convert to fraction form
    5,831.16/8,750.40 = 5,457.57/x
  3. Step 3: Cross multiply
    5,831.16x = 8,750.40 × 5,457.57
  4. Step 4: Simplify right side
    5,831.16x = 47,755,920.53
  5. Step 5: Solve for x
    x = 47,755,920.53/5,831.16
  6. Step 6: Final answer
    x = 8,189.78

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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.