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Finding the Fourth Proportional to 5,319.51, 7,978.43 and 2,031.87

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Solution

The fourth proportional to 5,319.51, 7,978.43 and 2,031.87 is: 3,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.51 : 7,978.43 = 2,031.87 : x
  2. Step 2: Convert to fraction form
    5,319.51/7,978.43 = 2,031.87/x
  3. Step 3: Cross multiply
    5,319.51x = 7,978.43 × 2,031.87
  4. Step 4: Simplify right side
    5,319.51x = 16,211,132.56
  5. Step 5: Solve for x
    x = 16,211,132.56/5,319.51
  6. Step 6: Final answer
    x = 3,047.49

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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.