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Finding the Fourth Proportional to 4,158.68, 6,237.88 and 1,237

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Solution

The fourth proportional to 4,158.68, 6,237.88 and 1,237 is: 1,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.68 : 6,237.88 = 1,237 : x
  2. Step 2: Convert to fraction form
    4,158.68/6,237.88 = 1,237/x
  3. Step 3: Cross multiply
    4,158.68x = 6,237.88 × 1,237
  4. Step 4: Simplify right side
    4,158.68x = 7,716,257.56
  5. Step 5: Solve for x
    x = 7,716,257.56/4,158.68
  6. Step 6: Final answer
    x = 1,855.46

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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.