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Finding the Fourth Proportional to 5,492.10, 8,240.86 and 2,569.90

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Solution

The fourth proportional to 5,492.10, 8,240.86 and 2,569.90 is: 3,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.10 : 8,240.86 = 2,569.90 : x
  2. Step 2: Convert to fraction form
    5,492.10/8,240.86 = 2,569.90/x
  3. Step 3: Cross multiply
    5,492.10x = 8,240.86 × 2,569.90
  4. Step 4: Simplify right side
    5,492.10x = 21,178,186.11
  5. Step 5: Solve for x
    x = 21,178,186.11/5,492.10
  6. Step 6: Final answer
    x = 3,856.12

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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.