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Finding the Fourth Proportional to 4,295.49, 6,443.02 and 1,522.11

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Solution

The fourth proportional to 4,295.49, 6,443.02 and 1,522.11 is: 2,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.49 : 6,443.02 = 1,522.11 : x
  2. Step 2: Convert to fraction form
    4,295.49/6,443.02 = 1,522.11/x
  3. Step 3: Cross multiply
    4,295.49x = 6,443.02 × 1,522.11
  4. Step 4: Simplify right side
    4,295.49x = 9,806,985.17
  5. Step 5: Solve for x
    x = 9,806,985.17/4,295.49
  6. Step 6: Final answer
    x = 2,283.09

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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.