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Finding the Fourth Proportional to 5,752, 7,937.76 and 3,268.48

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Solution

The fourth proportional to 5,752, 7,937.76 and 3,268.48 is: 4,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752 : 7,937.76 = 3,268.48 : x
  2. Step 2: Convert to fraction form
    5,752/7,937.76 = 3,268.48/x
  3. Step 3: Cross multiply
    5,752x = 7,937.76 × 3,268.48
  4. Step 4: Simplify right side
    5,752x = 25,944,409.80
  5. Step 5: Solve for x
    x = 25,944,409.80/5,752
  6. Step 6: Final answer
    x = 4,510.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.