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Finding the Fourth Proportional to 5,135.66, 7,703.50 and 1,437.92

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Solution

The fourth proportional to 5,135.66, 7,703.50 and 1,437.92 is: 2,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.66 : 7,703.50 = 1,437.92 : x
  2. Step 2: Convert to fraction form
    5,135.66/7,703.50 = 1,437.92/x
  3. Step 3: Cross multiply
    5,135.66x = 7,703.50 × 1,437.92
  4. Step 4: Simplify right side
    5,135.66x = 11,077,016.72
  5. Step 5: Solve for x
    x = 11,077,016.72/5,135.66
  6. Step 6: Final answer
    x = 2,156.88

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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.