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Finding the Fourth Proportional to 4,594, 6,340.80 and 2,732.08

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Solution

The fourth proportional to 4,594, 6,340.80 and 2,732.08 is: 3,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594 : 6,340.80 = 2,732.08 : x
  2. Step 2: Convert to fraction form
    4,594/6,340.80 = 2,732.08/x
  3. Step 3: Cross multiply
    4,594x = 6,340.80 × 2,732.08
  4. Step 4: Simplify right side
    4,594x = 17,323,572.86
  5. Step 5: Solve for x
    x = 17,323,572.86/4,594
  6. Step 6: Final answer
    x = 3,770.91

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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.