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Finding the Fourth Proportional to 5,363.96, 8,045.93 and 1,468.40

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Solution

The fourth proportional to 5,363.96, 8,045.93 and 1,468.40 is: 2,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.96 : 8,045.93 = 1,468.40 : x
  2. Step 2: Convert to fraction form
    5,363.96/8,045.93 = 1,468.40/x
  3. Step 3: Cross multiply
    5,363.96x = 8,045.93 × 1,468.40
  4. Step 4: Simplify right side
    5,363.96x = 11,814,607.05
  5. Step 5: Solve for x
    x = 11,814,607.05/5,363.96
  6. Step 6: Final answer
    x = 2,202.59

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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.