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Finding the Fourth Proportional to 5,319.21, 7,978.71 and 1,423.50

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Solution

The fourth proportional to 5,319.21, 7,978.71 and 1,423.50 is: 2,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.21 : 7,978.71 = 1,423.50 : x
  2. Step 2: Convert to fraction form
    5,319.21/7,978.71 = 1,423.50/x
  3. Step 3: Cross multiply
    5,319.21x = 7,978.71 × 1,423.50
  4. Step 4: Simplify right side
    5,319.21x = 11,357,693.69
  5. Step 5: Solve for x
    x = 11,357,693.69/5,319.21
  6. Step 6: Final answer
    x = 2,135.22

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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.