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Finding the Fourth Proportional to 4,152.64, 5,730.68 and 2,474.90

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Solution

The fourth proportional to 4,152.64, 5,730.68 and 2,474.90 is: 3,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.64 : 5,730.68 = 2,474.90 : x
  2. Step 2: Convert to fraction form
    4,152.64/5,730.68 = 2,474.90/x
  3. Step 3: Cross multiply
    4,152.64x = 5,730.68 × 2,474.90
  4. Step 4: Simplify right side
    4,152.64x = 14,182,859.93
  5. Step 5: Solve for x
    x = 14,182,859.93/4,152.64
  6. Step 6: Final answer
    x = 3,415.38

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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.