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Finding the Fourth Proportional to 4,767.84, 6,573.90 and 4,103.55

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Solution

The fourth proportional to 4,767.84, 6,573.90 and 4,103.55 is: 5,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.84 : 6,573.90 = 4,103.55 : x
  2. Step 2: Convert to fraction form
    4,767.84/6,573.90 = 4,103.55/x
  3. Step 3: Cross multiply
    4,767.84x = 6,573.90 × 4,103.55
  4. Step 4: Simplify right side
    4,767.84x = 26,976,327.35
  5. Step 5: Solve for x
    x = 26,976,327.35/4,767.84
  6. Step 6: Final answer
    x = 5,657.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.