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Finding the Fourth Proportional to 4,352.64, 6,006 and 2,463.72

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Solution

The fourth proportional to 4,352.64, 6,006 and 2,463.72 is: 3,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.64 : 6,006 = 2,463.72 : x
  2. Step 2: Convert to fraction form
    4,352.64/6,006 = 2,463.72/x
  3. Step 3: Cross multiply
    4,352.64x = 6,006 × 2,463.72
  4. Step 4: Simplify right side
    4,352.64x = 14,797,102.32
  5. Step 5: Solve for x
    x = 14,797,102.32/4,352.64
  6. Step 6: Final answer
    x = 3,399.57

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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.