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Finding the Fourth Proportional to 4,460.78, 6,115.82 and 4,381.76

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Solution

The fourth proportional to 4,460.78, 6,115.82 and 4,381.76 is: 6,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.78 : 6,115.82 = 4,381.76 : x
  2. Step 2: Convert to fraction form
    4,460.78/6,115.82 = 4,381.76/x
  3. Step 3: Cross multiply
    4,460.78x = 6,115.82 × 4,381.76
  4. Step 4: Simplify right side
    4,460.78x = 26,798,055.44
  5. Step 5: Solve for x
    x = 26,798,055.44/4,460.78
  6. Step 6: Final answer
    x = 6,007.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.