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Finding the Fourth Proportional to 3,748.93, 5,615.88 and 2,970.27

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Solution

The fourth proportional to 3,748.93, 5,615.88 and 2,970.27 is: 4,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.93 : 5,615.88 = 2,970.27 : x
  2. Step 2: Convert to fraction form
    3,748.93/5,615.88 = 2,970.27/x
  3. Step 3: Cross multiply
    3,748.93x = 5,615.88 × 2,970.27
  4. Step 4: Simplify right side
    3,748.93x = 16,680,685.46
  5. Step 5: Solve for x
    x = 16,680,685.46/3,748.93
  6. Step 6: Final answer
    x = 4,449.45

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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.