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Finding the Fourth Proportional to 5,621.74, 8,434.80 and 2,334

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Solution

The fourth proportional to 5,621.74, 8,434.80 and 2,334 is: 3,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.74 : 8,434.80 = 2,334 : x
  2. Step 2: Convert to fraction form
    5,621.74/8,434.80 = 2,334/x
  3. Step 3: Cross multiply
    5,621.74x = 8,434.80 × 2,334
  4. Step 4: Simplify right side
    5,621.74x = 19,686,823.20
  5. Step 5: Solve for x
    x = 19,686,823.20/5,621.74
  6. Step 6: Final answer
    x = 3,501.91

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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.