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Finding the Fourth Proportional to 3,881.84, 5,823.14 and 1,416.08

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Solution

The fourth proportional to 3,881.84, 5,823.14 and 1,416.08 is: 2,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.84 : 5,823.14 = 1,416.08 : x
  2. Step 2: Convert to fraction form
    3,881.84/5,823.14 = 1,416.08/x
  3. Step 3: Cross multiply
    3,881.84x = 5,823.14 × 1,416.08
  4. Step 4: Simplify right side
    3,881.84x = 8,246,025.01
  5. Step 5: Solve for x
    x = 8,246,025.01/3,881.84
  6. Step 6: Final answer
    x = 2,124.26

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Why These Related Problems?

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