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Finding the Fourth Proportional to 5,363.60, 8,035.80 and 4,384.40

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Solution

The fourth proportional to 5,363.60, 8,035.80 and 4,384.40 is: 6,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.60 : 8,035.80 = 4,384.40 : x
  2. Step 2: Convert to fraction form
    5,363.60/8,035.80 = 4,384.40/x
  3. Step 3: Cross multiply
    5,363.60x = 8,035.80 × 4,384.40
  4. Step 4: Simplify right side
    5,363.60x = 35,232,161.52
  5. Step 5: Solve for x
    x = 35,232,161.52/5,363.60
  6. Step 6: Final answer
    x = 6,568.75

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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.