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Finding the Fourth Proportional to 4,617.14, 6,931.84 and 2,153.69

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Solution

The fourth proportional to 4,617.14, 6,931.84 and 2,153.69 is: 3,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.14 : 6,931.84 = 2,153.69 : x
  2. Step 2: Convert to fraction form
    4,617.14/6,931.84 = 2,153.69/x
  3. Step 3: Cross multiply
    4,617.14x = 6,931.84 × 2,153.69
  4. Step 4: Simplify right side
    4,617.14x = 14,928,999.83
  5. Step 5: Solve for x
    x = 14,928,999.83/4,617.14
  6. Step 6: Final answer
    x = 3,233.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.