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Finding the Fourth Proportional to 5,319.06, 7,978.65 and 2,032.47

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Solution

The fourth proportional to 5,319.06, 7,978.65 and 2,032.47 is: 3,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.06 : 7,978.65 = 2,032.47 : x
  2. Step 2: Convert to fraction form
    5,319.06/7,978.65 = 2,032.47/x
  3. Step 3: Cross multiply
    5,319.06x = 7,978.65 × 2,032.47
  4. Step 4: Simplify right side
    5,319.06x = 16,216,366.77
  5. Step 5: Solve for x
    x = 16,216,366.77/5,319.06
  6. Step 6: Final answer
    x = 3,048.73

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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.