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Finding the Fourth Proportional to 5,100.48, 7,652.13 and 4,612.50

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Solution

The fourth proportional to 5,100.48, 7,652.13 and 4,612.50 is: 6,920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.48 : 7,652.13 = 4,612.50 : x
  2. Step 2: Convert to fraction form
    5,100.48/7,652.13 = 4,612.50/x
  3. Step 3: Cross multiply
    5,100.48x = 7,652.13 × 4,612.50
  4. Step 4: Simplify right side
    5,100.48x = 35,295,449.63
  5. Step 5: Solve for x
    x = 35,295,449.63/5,100.48
  6. Step 6: Final answer
    x = 6,920.03

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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.