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Finding the Fourth Proportional to 4,476.78, 6,178.41 and 3,082.50

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Solution

The fourth proportional to 4,476.78, 6,178.41 and 3,082.50 is: 4,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.78 : 6,178.41 = 3,082.50 : x
  2. Step 2: Convert to fraction form
    4,476.78/6,178.41 = 3,082.50/x
  3. Step 3: Cross multiply
    4,476.78x = 6,178.41 × 3,082.50
  4. Step 4: Simplify right side
    4,476.78x = 19,044,948.83
  5. Step 5: Solve for x
    x = 19,044,948.83/4,476.78
  6. Step 6: Final answer
    x = 4,254.16

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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.