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Finding the Fourth Proportional to 4,154.02, 5,732.50 and 2,291.02

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Solution

The fourth proportional to 4,154.02, 5,732.50 and 2,291.02 is: 3,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.02 : 5,732.50 = 2,291.02 : x
  2. Step 2: Convert to fraction form
    4,154.02/5,732.50 = 2,291.02/x
  3. Step 3: Cross multiply
    4,154.02x = 5,732.50 × 2,291.02
  4. Step 4: Simplify right side
    4,154.02x = 13,133,272.15
  5. Step 5: Solve for x
    x = 13,133,272.15/4,154.02
  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.