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Finding the Fourth Proportional to 5,313.60, 7,974.05 and 2,029.46

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Solution

The fourth proportional to 5,313.60, 7,974.05 and 2,029.46 is: 3,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.60 : 7,974.05 = 2,029.46 : x
  2. Step 2: Convert to fraction form
    5,313.60/7,974.05 = 2,029.46/x
  3. Step 3: Cross multiply
    5,313.60x = 7,974.05 × 2,029.46
  4. Step 4: Simplify right side
    5,313.60x = 16,182,965.50
  5. Step 5: Solve for x
    x = 16,182,965.50/5,313.60
  6. Step 6: Final answer
    x = 3,045.57

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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.