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Finding the Fourth Proportional to 5,770.40, 7,962.57 and 3,532.91

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Solution

The fourth proportional to 5,770.40, 7,962.57 and 3,532.91 is: 4,875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.40 : 7,962.57 = 3,532.91 : x
  2. Step 2: Convert to fraction form
    5,770.40/7,962.57 = 3,532.91/x
  3. Step 3: Cross multiply
    5,770.40x = 7,962.57 × 3,532.91
  4. Step 4: Simplify right side
    5,770.40x = 28,131,003.37
  5. Step 5: Solve for x
    x = 28,131,003.37/5,770.40
  6. Step 6: Final answer
    x = 4,875.06

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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.