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Finding the Fourth Proportional to 3,604.32, 4,972.50 and 2,543.63

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Solution

The fourth proportional to 3,604.32, 4,972.50 and 2,543.63 is: 3,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.32 : 4,972.50 = 2,543.63 : x
  2. Step 2: Convert to fraction form
    3,604.32/4,972.50 = 2,543.63/x
  3. Step 3: Cross multiply
    3,604.32x = 4,972.50 × 2,543.63
  4. Step 4: Simplify right side
    3,604.32x = 12,648,175.31
  5. Step 5: Solve for x
    x = 12,648,175.31/3,604.32
  6. Step 6: Final answer
    x = 3,509.17

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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.