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Finding the Fourth Proportional to 3,482.88, 5,220.42 and 2,658.42

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Solution

The fourth proportional to 3,482.88, 5,220.42 and 2,658.42 is: 3,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.88 : 5,220.42 = 2,658.42 : x
  2. Step 2: Convert to fraction form
    3,482.88/5,220.42 = 2,658.42/x
  3. Step 3: Cross multiply
    3,482.88x = 5,220.42 × 2,658.42
  4. Step 4: Simplify right side
    3,482.88x = 13,878,068.94
  5. Step 5: Solve for x
    x = 13,878,068.94/3,482.88
  6. Step 6: Final answer
    x = 3,984.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.