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Finding the Fourth Proportional to 5,808.42, 8,006.85 and 4,962.78

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Solution

The fourth proportional to 5,808.42, 8,006.85 and 4,962.78 is: 6,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.42 : 8,006.85 = 4,962.78 : x
  2. Step 2: Convert to fraction form
    5,808.42/8,006.85 = 4,962.78/x
  3. Step 3: Cross multiply
    5,808.42x = 8,006.85 × 4,962.78
  4. Step 4: Simplify right side
    5,808.42x = 39,736,235.04
  5. Step 5: Solve for x
    x = 39,736,235.04/5,808.42
  6. Step 6: Final answer
    x = 6,841.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.