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Finding the Fourth Proportional to 4,497.76, 6,750.10 and 2,937.34

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Solution

The fourth proportional to 4,497.76, 6,750.10 and 2,937.34 is: 4,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.76 : 6,750.10 = 2,937.34 : x
  2. Step 2: Convert to fraction form
    4,497.76/6,750.10 = 2,937.34/x
  3. Step 3: Cross multiply
    4,497.76x = 6,750.10 × 2,937.34
  4. Step 4: Simplify right side
    4,497.76x = 19,827,304.98
  5. Step 5: Solve for x
    x = 19,827,304.98/4,497.76
  6. Step 6: Final answer
    x = 4,408.27

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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.