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Finding the Fourth Proportional to 5,325.66, 7,978.77 and 2,973.42

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Solution

The fourth proportional to 5,325.66, 7,978.77 and 2,973.42 is: 4,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.66 : 7,978.77 = 2,973.42 : x
  2. Step 2: Convert to fraction form
    5,325.66/7,978.77 = 2,973.42/x
  3. Step 3: Cross multiply
    5,325.66x = 7,978.77 × 2,973.42
  4. Step 4: Simplify right side
    5,325.66x = 23,724,234.29
  5. Step 5: Solve for x
    x = 23,724,234.29/5,325.66
  6. Step 6: Final answer
    x = 4,454.70

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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.