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Finding the Fourth Proportional to 5,965.37, 8,948.06 and 1,582.49

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Solution

The fourth proportional to 5,965.37, 8,948.06 and 1,582.49 is: 2,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.37 : 8,948.06 = 1,582.49 : x
  2. Step 2: Convert to fraction form
    5,965.37/8,948.06 = 1,582.49/x
  3. Step 3: Cross multiply
    5,965.37x = 8,948.06 × 1,582.49
  4. Step 4: Simplify right side
    5,965.37x = 14,160,162.82
  5. Step 5: Solve for x
    x = 14,160,162.82/5,965.37
  6. Step 6: Final answer
    x = 2,373.73

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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.