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Finding the Fourth Proportional to 5,965.62, 8,948.82 and 1,582.96

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Solution

The fourth proportional to 5,965.62, 8,948.82 and 1,582.96 is: 2,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.62 : 8,948.82 = 1,582.96 : x
  2. Step 2: Convert to fraction form
    5,965.62/8,948.82 = 1,582.96/x
  3. Step 3: Cross multiply
    5,965.62x = 8,948.82 × 1,582.96
  4. Step 4: Simplify right side
    5,965.62x = 14,165,624.11
  5. Step 5: Solve for x
    x = 14,165,624.11/5,965.62
  6. Step 6: Final answer
    x = 2,374.54

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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.