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Finding the Fourth Proportional to 3,352.48, 5,027.76 and 1,300

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Solution

The fourth proportional to 3,352.48, 5,027.76 and 1,300 is: 1,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.48 : 5,027.76 = 1,300 : x
  2. Step 2: Convert to fraction form
    3,352.48/5,027.76 = 1,300/x
  3. Step 3: Cross multiply
    3,352.48x = 5,027.76 × 1,300
  4. Step 4: Simplify right side
    3,352.48x = 6,536,088
  5. Step 5: Solve for x
    x = 6,536,088/3,352.48
  6. Step 6: Final answer
    x = 1,949.63

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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.