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Finding the Fourth Proportional to 5,021.76, 7,534.08 and 1,944

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Solution

The fourth proportional to 5,021.76, 7,534.08 and 1,944 is: 2,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021.76 : 7,534.08 = 1,944 : x
  2. Step 2: Convert to fraction form
    5,021.76/7,534.08 = 1,944/x
  3. Step 3: Cross multiply
    5,021.76x = 7,534.08 × 1,944
  4. Step 4: Simplify right side
    5,021.76x = 14,646,251.52
  5. Step 5: Solve for x
    x = 14,646,251.52/5,021.76
  6. Step 6: Final answer
    x = 2,916.56

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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.