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Finding the Fourth Proportional to 4,712.41, 6,501.78 and 3,034.78

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Solution

The fourth proportional to 4,712.41, 6,501.78 and 3,034.78 is: 4,187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.41 : 6,501.78 = 3,034.78 : x
  2. Step 2: Convert to fraction form
    4,712.41/6,501.78 = 3,034.78/x
  3. Step 3: Cross multiply
    4,712.41x = 6,501.78 × 3,034.78
  4. Step 4: Simplify right side
    4,712.41x = 19,731,471.91
  5. Step 5: Solve for x
    x = 19,731,471.91/4,712.41
  6. Step 6: Final answer
    x = 4,187.13

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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.