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Finding the Fourth Proportional to 4,407.58, 6,081.50 and 2,543.50

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Solution

The fourth proportional to 4,407.58, 6,081.50 and 2,543.50 is: 3,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.58 : 6,081.50 = 2,543.50 : x
  2. Step 2: Convert to fraction form
    4,407.58/6,081.50 = 2,543.50/x
  3. Step 3: Cross multiply
    4,407.58x = 6,081.50 × 2,543.50
  4. Step 4: Simplify right side
    4,407.58x = 15,468,295.25
  5. Step 5: Solve for x
    x = 15,468,295.25/4,407.58
  6. Step 6: Final answer
    x = 3,509.48

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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.