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Finding the Fourth Proportional to 3,347.56, 5,021.50 and 1,267.40

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Solution

The fourth proportional to 3,347.56, 5,021.50 and 1,267.40 is: 1,901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.56 : 5,021.50 = 1,267.40 : x
  2. Step 2: Convert to fraction form
    3,347.56/5,021.50 = 1,267.40/x
  3. Step 3: Cross multiply
    3,347.56x = 5,021.50 × 1,267.40
  4. Step 4: Simplify right side
    3,347.56x = 6,364,249.10
  5. Step 5: Solve for x
    x = 6,364,249.10/3,347.56
  6. Step 6: Final answer
    x = 1,901.16

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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.