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Finding the Fourth Proportional to 4,897.76, 7,347.92 and 2,844

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Solution

The fourth proportional to 4,897.76, 7,347.92 and 2,844 is: 4,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.76 : 7,347.92 = 2,844 : x
  2. Step 2: Convert to fraction form
    4,897.76/7,347.92 = 2,844/x
  3. Step 3: Cross multiply
    4,897.76x = 7,347.92 × 2,844
  4. Step 4: Simplify right side
    4,897.76x = 20,897,484.48
  5. Step 5: Solve for x
    x = 20,897,484.48/4,897.76
  6. Step 6: Final answer
    x = 4,266.74

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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.