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Finding the Fourth Proportional to 4,416.53, 6,083.78 and 4,097.52

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Solution

The fourth proportional to 4,416.53, 6,083.78 and 4,097.52 is: 5,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416.53 : 6,083.78 = 4,097.52 : x
  2. Step 2: Convert to fraction form
    4,416.53/6,083.78 = 4,097.52/x
  3. Step 3: Cross multiply
    4,416.53x = 6,083.78 × 4,097.52
  4. Step 4: Simplify right side
    4,416.53x = 24,928,389.74
  5. Step 5: Solve for x
    x = 24,928,389.74/4,416.53
  6. Step 6: Final answer
    x = 5,644.34

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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.