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Finding the Fourth Proportional to 4,596.89, 6,897.95 and 3,826.22

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Solution

The fourth proportional to 4,596.89, 6,897.95 and 3,826.22 is: 5,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.89 : 6,897.95 = 3,826.22 : x
  2. Step 2: Convert to fraction form
    4,596.89/6,897.95 = 3,826.22/x
  3. Step 3: Cross multiply
    4,596.89x = 6,897.95 × 3,826.22
  4. Step 4: Simplify right side
    4,596.89x = 26,393,034.98
  5. Step 5: Solve for x
    x = 26,393,034.98/4,596.89
  6. Step 6: Final answer
    x = 5,741.50

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1.5x scale

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.