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Finding the Fourth Proportional to 4,973.49, 7,460.84 and 1,687.52

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Solution

The fourth proportional to 4,973.49, 7,460.84 and 1,687.52 is: 2,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.49 : 7,460.84 = 1,687.52 : x
  2. Step 2: Convert to fraction form
    4,973.49/7,460.84 = 1,687.52/x
  3. Step 3: Cross multiply
    4,973.49x = 7,460.84 × 1,687.52
  4. Step 4: Simplify right side
    4,973.49x = 12,590,270.98
  5. Step 5: Solve for x
    x = 12,590,270.98/4,973.49
  6. Step 6: Final answer
    x = 2,531.48

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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.