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Finding the Fourth Proportional to 4,154.01, 5,732.51 and 2,291.01

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Solution

The fourth proportional to 4,154.01, 5,732.51 and 2,291.01 is: 3,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.01 : 5,732.51 = 2,291.01 : x
  2. Step 2: Convert to fraction form
    4,154.01/5,732.51 = 2,291.01/x
  3. Step 3: Cross multiply
    4,154.01x = 5,732.51 × 2,291.01
  4. Step 4: Simplify right side
    4,154.01x = 13,133,226.28
  5. Step 5: Solve for x
    x = 13,133,226.28/4,154.01
  6. Step 6: Final answer
    x = 3,161.58

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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.