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Finding the Fourth Proportional to 4,126.42, 6,182.42 and 3,437.50

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Solution

The fourth proportional to 4,126.42, 6,182.42 and 3,437.50 is: 5,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.42 : 6,182.42 = 3,437.50 : x
  2. Step 2: Convert to fraction form
    4,126.42/6,182.42 = 3,437.50/x
  3. Step 3: Cross multiply
    4,126.42x = 6,182.42 × 3,437.50
  4. Step 4: Simplify right side
    4,126.42x = 21,252,068.75
  5. Step 5: Solve for x
    x = 21,252,068.75/4,126.42
  6. Step 6: Final answer
    x = 5,150.24

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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.