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Finding the Fourth Proportional to 10,284.29, 15,424.02 and 2,889.45

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Solution

The fourth proportional to 10,284.29, 15,424.02 and 2,889.45 is: 4,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.29 : 15,424.02 = 2,889.45 : x
  2. Step 2: Convert to fraction form
    10,284.29/15,424.02 = 2,889.45/x
  3. Step 3: Cross multiply
    10,284.29x = 15,424.02 × 2,889.45
  4. Step 4: Simplify right side
    10,284.29x = 44,566,934.59
  5. Step 5: Solve for x
    x = 44,566,934.59/10,284.29
  6. Step 6: Final answer
    x = 4,333.50

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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.