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Finding the Fourth Proportional to 4,154.66, 5,733.70 and 2,291.66

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Solution

The fourth proportional to 4,154.66, 5,733.70 and 2,291.66 is: 3,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.66 : 5,733.70 = 2,291.66 : x
  2. Step 2: Convert to fraction form
    4,154.66/5,733.70 = 2,291.66/x
  3. Step 3: Cross multiply
    4,154.66x = 5,733.70 × 2,291.66
  4. Step 4: Simplify right side
    4,154.66x = 13,139,690.94
  5. Step 5: Solve for x
    x = 13,139,690.94/4,154.66
  6. Step 6: Final answer
    x = 3,162.64

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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.