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Finding the Fourth Proportional to 3,483.48, 5,226.48 and 1,537.05

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Solution

The fourth proportional to 3,483.48, 5,226.48 and 1,537.05 is: 2,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.48 : 5,226.48 = 1,537.05 : x
  2. Step 2: Convert to fraction form
    3,483.48/5,226.48 = 1,537.05/x
  3. Step 3: Cross multiply
    3,483.48x = 5,226.48 × 1,537.05
  4. Step 4: Simplify right side
    3,483.48x = 8,033,361.08
  5. Step 5: Solve for x
    x = 8,033,361.08/3,483.48
  6. Step 6: Final answer
    x = 2,306.13

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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.