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Finding the Fourth Proportional to 5,041.44, 7,562.16 and 1,755

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Solution

The fourth proportional to 5,041.44, 7,562.16 and 1,755 is: 2,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.44 : 7,562.16 = 1,755 : x
  2. Step 2: Convert to fraction form
    5,041.44/7,562.16 = 1,755/x
  3. Step 3: Cross multiply
    5,041.44x = 7,562.16 × 1,755
  4. Step 4: Simplify right side
    5,041.44x = 13,271,590.80
  5. Step 5: Solve for x
    x = 13,271,590.80/5,041.44
  6. Step 6: Final answer
    x = 2,632.50

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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.