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Finding the Fourth Proportional to 4,615.80, 6,917.64 and 2,532.72

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Solution

The fourth proportional to 4,615.80, 6,917.64 and 2,532.72 is: 3,795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.80 : 6,917.64 = 2,532.72 : x
  2. Step 2: Convert to fraction form
    4,615.80/6,917.64 = 2,532.72/x
  3. Step 3: Cross multiply
    4,615.80x = 6,917.64 × 2,532.72
  4. Step 4: Simplify right side
    4,615.80x = 17,520,445.18
  5. Step 5: Solve for x
    x = 17,520,445.18/4,615.80
  6. Step 6: Final answer
    x = 3,795.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.