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Finding the Fourth Proportional to 3,510.48, 5,290.77 and 3,510.48

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Solution

The fourth proportional to 3,510.48, 5,290.77 and 3,510.48 is: 5,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.48 : 5,290.77 = 3,510.48 : x
  2. Step 2: Convert to fraction form
    3,510.48/5,290.77 = 3,510.48/x
  3. Step 3: Cross multiply
    3,510.48x = 5,290.77 × 3,510.48
  4. Step 4: Simplify right side
    3,510.48x = 18,573,142.27
  5. Step 5: Solve for x
    x = 18,573,142.27/3,510.48
  6. Step 6: Final answer
    x = 5,290.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.