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Finding the Fourth Proportional to 5,942.55, 8,913.89 and 1,560.45

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Solution

The fourth proportional to 5,942.55, 8,913.89 and 1,560.45 is: 2,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.55 : 8,913.89 = 1,560.45 : x
  2. Step 2: Convert to fraction form
    5,942.55/8,913.89 = 1,560.45/x
  3. Step 3: Cross multiply
    5,942.55x = 8,913.89 × 1,560.45
  4. Step 4: Simplify right side
    5,942.55x = 13,909,671.85
  5. Step 5: Solve for x
    x = 13,909,671.85/5,942.55
  6. Step 6: Final answer
    x = 2,340.69

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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.