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Finding the Fourth Proportional to 4,864.39, 6,758.18 and 4,806.07

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Solution

The fourth proportional to 4,864.39, 6,758.18 and 4,806.07 is: 6,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.39 : 6,758.18 = 4,806.07 : x
  2. Step 2: Convert to fraction form
    4,864.39/6,758.18 = 4,806.07/x
  3. Step 3: Cross multiply
    4,864.39x = 6,758.18 × 4,806.07
  4. Step 4: Simplify right side
    4,864.39x = 32,480,262.12
  5. Step 5: Solve for x
    x = 32,480,262.12/4,864.39
  6. Step 6: Final answer
    x = 6,677.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.