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Finding the Fourth Proportional to 5,290.49, 7,897.09 and 4,905.02

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Solution

The fourth proportional to 5,290.49, 7,897.09 and 4,905.02 is: 7,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.49 : 7,897.09 = 4,905.02 : x
  2. Step 2: Convert to fraction form
    5,290.49/7,897.09 = 4,905.02/x
  3. Step 3: Cross multiply
    5,290.49x = 7,897.09 × 4,905.02
  4. Step 4: Simplify right side
    5,290.49x = 38,735,384.39
  5. Step 5: Solve for x
    x = 38,735,384.39/5,290.49
  6. Step 6: Final answer
    x = 7,321.70

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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.