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Finding the Fourth Proportional to 4,984.23, 7,461.86 and 2,897.87

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Solution

The fourth proportional to 4,984.23, 7,461.86 and 2,897.87 is: 4,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.23 : 7,461.86 = 2,897.87 : x
  2. Step 2: Convert to fraction form
    4,984.23/7,461.86 = 2,897.87/x
  3. Step 3: Cross multiply
    4,984.23x = 7,461.86 × 2,897.87
  4. Step 4: Simplify right side
    4,984.23x = 21,623,500.24
  5. Step 5: Solve for x
    x = 21,623,500.24/4,984.23
  6. Step 6: Final answer
    x = 4,338.38

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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.