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Finding the Fourth Proportional to 4,119.64, 5,684.74 and 2,351

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Solution

The fourth proportional to 4,119.64, 5,684.74 and 2,351 is: 3,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.64 : 5,684.74 = 2,351 : x
  2. Step 2: Convert to fraction form
    4,119.64/5,684.74 = 2,351/x
  3. Step 3: Cross multiply
    4,119.64x = 5,684.74 × 2,351
  4. Step 4: Simplify right side
    4,119.64x = 13,364,823.74
  5. Step 5: Solve for x
    x = 13,364,823.74/4,119.64
  6. Step 6: Final answer
    x = 3,244.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.