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Finding the Fourth Proportional to 3,482.53, 5,220.47 and 1,290.67

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Solution

The fourth proportional to 3,482.53, 5,220.47 and 1,290.67 is: 1,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.53 : 5,220.47 = 1,290.67 : x
  2. Step 2: Convert to fraction form
    3,482.53/5,220.47 = 1,290.67/x
  3. Step 3: Cross multiply
    3,482.53x = 5,220.47 × 1,290.67
  4. Step 4: Simplify right side
    3,482.53x = 6,737,897.56
  5. Step 5: Solve for x
    x = 6,737,897.56/3,482.53
  6. Step 6: Final answer
    x = 1,934.77

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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.