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Finding the Fourth Proportional to 4,651, 6,418.39 and 2,526.54

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Solution

The fourth proportional to 4,651, 6,418.39 and 2,526.54 is: 3,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651 : 6,418.39 = 2,526.54 : x
  2. Step 2: Convert to fraction form
    4,651/6,418.39 = 2,526.54/x
  3. Step 3: Cross multiply
    4,651x = 6,418.39 × 2,526.54
  4. Step 4: Simplify right side
    4,651x = 16,216,319.07
  5. Step 5: Solve for x
    x = 16,216,319.07/4,651
  6. Step 6: Final answer
    x = 3,486.63

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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.