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Finding the Fourth Proportional to 5,309.50, 7,908.16 and 5,031.94

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Solution

The fourth proportional to 5,309.50, 7,908.16 and 5,031.94 is: 7,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.50 : 7,908.16 = 5,031.94 : x
  2. Step 2: Convert to fraction form
    5,309.50/7,908.16 = 5,031.94/x
  3. Step 3: Cross multiply
    5,309.50x = 7,908.16 × 5,031.94
  4. Step 4: Simplify right side
    5,309.50x = 39,793,386.63
  5. Step 5: Solve for x
    x = 39,793,386.63/5,309.50
  6. Step 6: Final answer
    x = 7,494.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.