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Finding the Fourth Proportional to 4,047.64, 5,585.72 and 2,279.82

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Solution

The fourth proportional to 4,047.64, 5,585.72 and 2,279.82 is: 3,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.64 : 5,585.72 = 2,279.82 : x
  2. Step 2: Convert to fraction form
    4,047.64/5,585.72 = 2,279.82/x
  3. Step 3: Cross multiply
    4,047.64x = 5,585.72 × 2,279.82
  4. Step 4: Simplify right side
    4,047.64x = 12,734,412.37
  5. Step 5: Solve for x
    x = 12,734,412.37/4,047.64
  6. Step 6: Final answer
    x = 3,146.13

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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.