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Finding the Fourth Proportional to 5,139.24, 7,709.50 and 1,851.48

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Solution

The fourth proportional to 5,139.24, 7,709.50 and 1,851.48 is: 2,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.24 : 7,709.50 = 1,851.48 : x
  2. Step 2: Convert to fraction form
    5,139.24/7,709.50 = 1,851.48/x
  3. Step 3: Cross multiply
    5,139.24x = 7,709.50 × 1,851.48
  4. Step 4: Simplify right side
    5,139.24x = 14,273,985.06
  5. Step 5: Solve for x
    x = 14,273,985.06/5,139.24
  6. Step 6: Final answer
    x = 2,777.45

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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.