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Finding the Fourth Proportional to 5,876.16, 8,814.24 and 3,428.07

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Solution

The fourth proportional to 5,876.16, 8,814.24 and 3,428.07 is: 5,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.16 : 8,814.24 = 3,428.07 : x
  2. Step 2: Convert to fraction form
    5,876.16/8,814.24 = 3,428.07/x
  3. Step 3: Cross multiply
    5,876.16x = 8,814.24 × 3,428.07
  4. Step 4: Simplify right side
    5,876.16x = 30,215,831.72
  5. Step 5: Solve for x
    x = 30,215,831.72/5,876.16
  6. Step 6: Final answer
    x = 5,142.11

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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.