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Finding the Fourth Proportional to 4,672.44, 7,004.52 and 1,748.70

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Solution

The fourth proportional to 4,672.44, 7,004.52 and 1,748.70 is: 2,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.44 : 7,004.52 = 1,748.70 : x
  2. Step 2: Convert to fraction form
    4,672.44/7,004.52 = 1,748.70/x
  3. Step 3: Cross multiply
    4,672.44x = 7,004.52 × 1,748.70
  4. Step 4: Simplify right side
    4,672.44x = 12,248,804.12
  5. Step 5: Solve for x
    x = 12,248,804.12/4,672.44
  6. Step 6: Final answer
    x = 2,621.50

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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.