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Finding the Fourth Proportional to 5,942.71, 8,913.38 and 1,560.51

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Solution

The fourth proportional to 5,942.71, 8,913.38 and 1,560.51 is: 2,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.71 : 8,913.38 = 1,560.51 : x
  2. Step 2: Convert to fraction form
    5,942.71/8,913.38 = 1,560.51/x
  3. Step 3: Cross multiply
    5,942.71x = 8,913.38 × 1,560.51
  4. Step 4: Simplify right side
    5,942.71x = 13,909,444.81
  5. Step 5: Solve for x
    x = 13,909,444.81/5,942.71
  6. Step 6: Final answer
    x = 2,340.59

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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.