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Finding the Fourth Proportional to 4,184.64, 6,279.40 and 1,554

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Solution

The fourth proportional to 4,184.64, 6,279.40 and 1,554 is: 2,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.64 : 6,279.40 = 1,554 : x
  2. Step 2: Convert to fraction form
    4,184.64/6,279.40 = 1,554/x
  3. Step 3: Cross multiply
    4,184.64x = 6,279.40 × 1,554
  4. Step 4: Simplify right side
    4,184.64x = 9,758,187.60
  5. Step 5: Solve for x
    x = 9,758,187.60/4,184.64
  6. Step 6: Final answer
    x = 2,331.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.