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Finding the Fourth Proportional to 5,363.60, 8,038.80 and 3,411.44

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Solution

The fourth proportional to 5,363.60, 8,038.80 and 3,411.44 is: 5,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.60 : 8,038.80 = 3,411.44 : x
  2. Step 2: Convert to fraction form
    5,363.60/8,038.80 = 3,411.44/x
  3. Step 3: Cross multiply
    5,363.60x = 8,038.80 × 3,411.44
  4. Step 4: Simplify right side
    5,363.60x = 27,423,883.87
  5. Step 5: Solve for x
    x = 27,423,883.87/5,363.60
  6. Step 6: Final answer
    x = 5,112.96

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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.