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Finding the Fourth Proportional to 2,897.56, 4,001.13 and 2,749.93

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Solution

The fourth proportional to 2,897.56, 4,001.13 and 2,749.93 is: 3,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.56 : 4,001.13 = 2,749.93 : x
  2. Step 2: Convert to fraction form
    2,897.56/4,001.13 = 2,749.93/x
  3. Step 3: Cross multiply
    2,897.56x = 4,001.13 × 2,749.93
  4. Step 4: Simplify right side
    2,897.56x = 11,002,827.42
  5. Step 5: Solve for x
    x = 11,002,827.42/2,897.56
  6. Step 6: Final answer
    x = 3,797.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.