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Finding the Fourth Proportional to 4,704.24, 6,486.48 and 4,458

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Solution

The fourth proportional to 4,704.24, 6,486.48 and 4,458 is: 6,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.24 : 6,486.48 = 4,458 : x
  2. Step 2: Convert to fraction form
    4,704.24/6,486.48 = 4,458/x
  3. Step 3: Cross multiply
    4,704.24x = 6,486.48 × 4,458
  4. Step 4: Simplify right side
    4,704.24x = 28,916,727.84
  5. Step 5: Solve for x
    x = 28,916,727.84/4,704.24
  6. Step 6: Final answer
    x = 6,146.95

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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.