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Finding the Fourth Proportional to 4,382.32, 6,047.74 and 2,392.98

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Solution

The fourth proportional to 4,382.32, 6,047.74 and 2,392.98 is: 3,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.32 : 6,047.74 = 2,392.98 : x
  2. Step 2: Convert to fraction form
    4,382.32/6,047.74 = 2,392.98/x
  3. Step 3: Cross multiply
    4,382.32x = 6,047.74 × 2,392.98
  4. Step 4: Simplify right side
    4,382.32x = 14,472,120.87
  5. Step 5: Solve for x
    x = 14,472,120.87/4,382.32
  6. Step 6: Final answer
    x = 3,302.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.