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Finding the Fourth Proportional to 4,708.73, 6,500.67 and 4,210.18

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Solution

The fourth proportional to 4,708.73, 6,500.67 and 4,210.18 is: 5,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.73 : 6,500.67 = 4,210.18 : x
  2. Step 2: Convert to fraction form
    4,708.73/6,500.67 = 4,210.18/x
  3. Step 3: Cross multiply
    4,708.73x = 6,500.67 × 4,210.18
  4. Step 4: Simplify right side
    4,708.73x = 27,368,990.82
  5. Step 5: Solve for x
    x = 27,368,990.82/4,708.73
  6. Step 6: Final answer
    x = 5,812.39

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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.