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Finding the Fourth Proportional to 5,034.56, 7,552.44 and 1,746.50

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Solution

The fourth proportional to 5,034.56, 7,552.44 and 1,746.50 is: 2,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.56 : 7,552.44 = 1,746.50 : x
  2. Step 2: Convert to fraction form
    5,034.56/7,552.44 = 1,746.50/x
  3. Step 3: Cross multiply
    5,034.56x = 7,552.44 × 1,746.50
  4. Step 4: Simplify right side
    5,034.56x = 13,190,298.70
  5. Step 5: Solve for x
    x = 13,190,298.70/5,034.56
  6. Step 6: Final answer
    x = 2,619.95

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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.