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Finding the Fourth Proportional to 4,393.68, 6,584.04 and 2,909.76

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Solution

The fourth proportional to 4,393.68, 6,584.04 and 2,909.76 is: 4,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.68 : 6,584.04 = 2,909.76 : x
  2. Step 2: Convert to fraction form
    4,393.68/6,584.04 = 2,909.76/x
  3. Step 3: Cross multiply
    4,393.68x = 6,584.04 × 2,909.76
  4. Step 4: Simplify right side
    4,393.68x = 19,157,976.23
  5. Step 5: Solve for x
    x = 19,157,976.23/4,393.68
  6. Step 6: Final answer
    x = 4,360.35

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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.