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Finding the Fourth Proportional to 3,184.68, 4,744.18 and 3,087.95

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Solution

The fourth proportional to 3,184.68, 4,744.18 and 3,087.95 is: 4,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.68 : 4,744.18 = 3,087.95 : x
  2. Step 2: Convert to fraction form
    3,184.68/4,744.18 = 3,087.95/x
  3. Step 3: Cross multiply
    3,184.68x = 4,744.18 × 3,087.95
  4. Step 4: Simplify right side
    3,184.68x = 14,649,790.63
  5. Step 5: Solve for x
    x = 14,649,790.63/3,184.68
  6. Step 6: Final answer
    x = 4,600.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.