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Finding the Fourth Proportional to 3,415.52, 4,716.51 and 2,158.81

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Solution

The fourth proportional to 3,415.52, 4,716.51 and 2,158.81 is: 2,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.52 : 4,716.51 = 2,158.81 : x
  2. Step 2: Convert to fraction form
    3,415.52/4,716.51 = 2,158.81/x
  3. Step 3: Cross multiply
    3,415.52x = 4,716.51 × 2,158.81
  4. Step 4: Simplify right side
    3,415.52x = 10,182,029.07
  5. Step 5: Solve for x
    x = 10,182,029.07/3,415.52
  6. Step 6: Final answer
    x = 2,981.10

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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.