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Finding the Fourth Proportional to 3,877.60, 5,814.14 and 3,416.32

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Solution

The fourth proportional to 3,877.60, 5,814.14 and 3,416.32 is: 5,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.60 : 5,814.14 = 3,416.32 : x
  2. Step 2: Convert to fraction form
    3,877.60/5,814.14 = 3,416.32/x
  3. Step 3: Cross multiply
    3,877.60x = 5,814.14 × 3,416.32
  4. Step 4: Simplify right side
    3,877.60x = 19,862,962.76
  5. Step 5: Solve for x
    x = 19,862,962.76/3,877.60
  6. Step 6: Final answer
    x = 5,122.49

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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.