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Finding the Fourth Proportional to 4,687.34, 7,031.13 and 2,053.49

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Solution

The fourth proportional to 4,687.34, 7,031.13 and 2,053.49 is: 3,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.34 : 7,031.13 = 2,053.49 : x
  2. Step 2: Convert to fraction form
    4,687.34/7,031.13 = 2,053.49/x
  3. Step 3: Cross multiply
    4,687.34x = 7,031.13 × 2,053.49
  4. Step 4: Simplify right side
    4,687.34x = 14,438,319.99
  5. Step 5: Solve for x
    x = 14,438,319.99/4,687.34
  6. Step 6: Final answer
    x = 3,080.28

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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.