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Finding the Fourth Proportional to 4,864.16, 6,707.02 and 4,229.12

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Solution

The fourth proportional to 4,864.16, 6,707.02 and 4,229.12 is: 5,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.16 : 6,707.02 = 4,229.12 : x
  2. Step 2: Convert to fraction form
    4,864.16/6,707.02 = 4,229.12/x
  3. Step 3: Cross multiply
    4,864.16x = 6,707.02 × 4,229.12
  4. Step 4: Simplify right side
    4,864.16x = 28,364,792.42
  5. Step 5: Solve for x
    x = 28,364,792.42/4,864.16
  6. Step 6: Final answer
    x = 5,831.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.