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Finding the Fourth Proportional to 5,429.77, 7,492.10 and 3,191.74

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Solution

The fourth proportional to 5,429.77, 7,492.10 and 3,191.74 is: 4,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.77 : 7,492.10 = 3,191.74 : x
  2. Step 2: Convert to fraction form
    5,429.77/7,492.10 = 3,191.74/x
  3. Step 3: Cross multiply
    5,429.77x = 7,492.10 × 3,191.74
  4. Step 4: Simplify right side
    5,429.77x = 23,912,800.57
  5. Step 5: Solve for x
    x = 23,912,800.57/5,429.77
  6. Step 6: Final answer
    x = 4,404.02

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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.