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Finding the Fourth Proportional to 5,739.24, 7,916.09 and 4,035

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Solution

The fourth proportional to 5,739.24, 7,916.09 and 4,035 is: 5,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.24 : 7,916.09 = 4,035 : x
  2. Step 2: Convert to fraction form
    5,739.24/7,916.09 = 4,035/x
  3. Step 3: Cross multiply
    5,739.24x = 7,916.09 × 4,035
  4. Step 4: Simplify right side
    5,739.24x = 31,941,402.98
  5. Step 5: Solve for x
    x = 31,941,402.98/5,739.24
  6. Step 6: Final answer
    x = 5,565.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.