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Finding the Fourth Proportional to 4,225.81, 6,339.72 and 1,264.50

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Solution

The fourth proportional to 4,225.81, 6,339.72 and 1,264.50 is: 1,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.81 : 6,339.72 = 1,264.50 : x
  2. Step 2: Convert to fraction form
    4,225.81/6,339.72 = 1,264.50/x
  3. Step 3: Cross multiply
    4,225.81x = 6,339.72 × 1,264.50
  4. Step 4: Simplify right side
    4,225.81x = 8,016,575.94
  5. Step 5: Solve for x
    x = 8,016,575.94/4,225.81
  6. Step 6: Final answer
    x = 1,897.05

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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.