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Finding the Fourth Proportional to 3,482.60, 5,221.74 and 1,290.20

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Solution

The fourth proportional to 3,482.60, 5,221.74 and 1,290.20 is: 1,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.60 : 5,221.74 = 1,290.20 : x
  2. Step 2: Convert to fraction form
    3,482.60/5,221.74 = 1,290.20/x
  3. Step 3: Cross multiply
    3,482.60x = 5,221.74 × 1,290.20
  4. Step 4: Simplify right side
    3,482.60x = 6,737,088.95
  5. Step 5: Solve for x
    x = 6,737,088.95/3,482.60
  6. Step 6: Final answer
    x = 1,934.50

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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.