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Finding the Fourth Proportional to 5,199.84, 7,759.52 and 4,646

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Solution

The fourth proportional to 5,199.84, 7,759.52 and 4,646 is: 6,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.84 : 7,759.52 = 4,646 : x
  2. Step 2: Convert to fraction form
    5,199.84/7,759.52 = 4,646/x
  3. Step 3: Cross multiply
    5,199.84x = 7,759.52 × 4,646
  4. Step 4: Simplify right side
    5,199.84x = 36,050,729.92
  5. Step 5: Solve for x
    x = 36,050,729.92/5,199.84
  6. Step 6: Final answer
    x = 6,933.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.