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Finding the Fourth Proportional to 7,284.42, 10,926.63 and 2,901.92

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Solution

The fourth proportional to 7,284.42, 10,926.63 and 2,901.92 is: 4,352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.42 : 10,926.63 = 2,901.92 : x
  2. Step 2: Convert to fraction form
    7,284.42/10,926.63 = 2,901.92/x
  3. Step 3: Cross multiply
    7,284.42x = 10,926.63 × 2,901.92
  4. Step 4: Simplify right side
    7,284.42x = 31,708,151.50
  5. Step 5: Solve for x
    x = 31,708,151.50/7,284.42
  6. Step 6: Final answer
    x = 4,352.87

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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.