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Finding the Fourth Proportional to 5,170.34, 7,750.87 and 2,048.24

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Solution

The fourth proportional to 5,170.34, 7,750.87 and 2,048.24 is: 3,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.34 : 7,750.87 = 2,048.24 : x
  2. Step 2: Convert to fraction form
    5,170.34/7,750.87 = 2,048.24/x
  3. Step 3: Cross multiply
    5,170.34x = 7,750.87 × 2,048.24
  4. Step 4: Simplify right side
    5,170.34x = 15,875,656.23
  5. Step 5: Solve for x
    x = 15,875,656.23/5,170.34
  6. Step 6: Final answer
    x = 3,070.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.