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Finding the Fourth Proportional to 5,492.10, 8,248.05 and 4,811.70

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Solution

The fourth proportional to 5,492.10, 8,248.05 and 4,811.70 is: 7,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.10 : 8,248.05 = 4,811.70 : x
  2. Step 2: Convert to fraction form
    5,492.10/8,248.05 = 4,811.70/x
  3. Step 3: Cross multiply
    5,492.10x = 8,248.05 × 4,811.70
  4. Step 4: Simplify right side
    5,492.10x = 39,687,142.19
  5. Step 5: Solve for x
    x = 39,687,142.19/5,492.10
  6. Step 6: Final answer
    x = 7,226.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.