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Finding the Fourth Proportional to 3,416.77, 4,715.58 and 2,367.01

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Solution

The fourth proportional to 3,416.77, 4,715.58 and 2,367.01 is: 3,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.77 : 4,715.58 = 2,367.01 : x
  2. Step 2: Convert to fraction form
    3,416.77/4,715.58 = 2,367.01/x
  3. Step 3: Cross multiply
    3,416.77x = 4,715.58 × 2,367.01
  4. Step 4: Simplify right side
    3,416.77x = 11,161,825.02
  5. Step 5: Solve for x
    x = 11,161,825.02/3,416.77
  6. Step 6: Final answer
    x = 3,266.78

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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.