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Finding the Fourth Proportional to 4,853.78, 7,279.74 and 1,566.08

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Solution

The fourth proportional to 4,853.78, 7,279.74 and 1,566.08 is: 2,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.78 : 7,279.74 = 1,566.08 : x
  2. Step 2: Convert to fraction form
    4,853.78/7,279.74 = 1,566.08/x
  3. Step 3: Cross multiply
    4,853.78x = 7,279.74 × 1,566.08
  4. Step 4: Simplify right side
    4,853.78x = 11,400,655.22
  5. Step 5: Solve for x
    x = 11,400,655.22/4,853.78
  6. Step 6: Final answer
    x = 2,348.82

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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.