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Finding the Fourth Proportional to 5,209.87, 7,188.19 and 3,347.95

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Solution

The fourth proportional to 5,209.87, 7,188.19 and 3,347.95 is: 4,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.87 : 7,188.19 = 3,347.95 : x
  2. Step 2: Convert to fraction form
    5,209.87/7,188.19 = 3,347.95/x
  3. Step 3: Cross multiply
    5,209.87x = 7,188.19 × 3,347.95
  4. Step 4: Simplify right side
    5,209.87x = 24,065,700.71
  5. Step 5: Solve for x
    x = 24,065,700.71/5,209.87
  6. Step 6: Final answer
    x = 4,619.25

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1.5x scale

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.