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Finding the Fourth Proportional to 5,942.63, 8,913.90 and 1,560.02

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Solution

The fourth proportional to 5,942.63, 8,913.90 and 1,560.02 is: 2,340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.63 : 8,913.90 = 1,560.02 : x
  2. Step 2: Convert to fraction form
    5,942.63/8,913.90 = 1,560.02/x
  3. Step 3: Cross multiply
    5,942.63x = 8,913.90 × 1,560.02
  4. Step 4: Simplify right side
    5,942.63x = 13,905,862.28
  5. Step 5: Solve for x
    x = 13,905,862.28/5,942.63
  6. Step 6: Final answer
    x = 2,340.02

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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.