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Finding the Fourth Proportional to 4,864.29, 6,712.62 and 2,975.73

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Solution

The fourth proportional to 4,864.29, 6,712.62 and 2,975.73 is: 4,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.29 : 6,712.62 = 2,975.73 : x
  2. Step 2: Convert to fraction form
    4,864.29/6,712.62 = 2,975.73/x
  3. Step 3: Cross multiply
    4,864.29x = 6,712.62 × 2,975.73
  4. Step 4: Simplify right side
    4,864.29x = 19,974,944.71
  5. Step 5: Solve for x
    x = 19,974,944.71/4,864.29
  6. Step 6: Final answer
    x = 4,106.45

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