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Finding the Fourth Proportional to 4,989.49, 7,425.32 and 4,823.38

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Solution

The fourth proportional to 4,989.49, 7,425.32 and 4,823.38 is: 7,178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.49 : 7,425.32 = 4,823.38 : x
  2. Step 2: Convert to fraction form
    4,989.49/7,425.32 = 4,823.38/x
  3. Step 3: Cross multiply
    4,989.49x = 7,425.32 × 4,823.38
  4. Step 4: Simplify right side
    4,989.49x = 35,815,139.98
  5. Step 5: Solve for x
    x = 35,815,139.98/4,989.49
  6. Step 6: Final answer
    x = 7,178.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.