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Finding the Fourth Proportional to 4,778.08, 6,592.08 and 3,009.76

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Solution

The fourth proportional to 4,778.08, 6,592.08 and 3,009.76 is: 4,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.08 : 6,592.08 = 3,009.76 : x
  2. Step 2: Convert to fraction form
    4,778.08/6,592.08 = 3,009.76/x
  3. Step 3: Cross multiply
    4,778.08x = 6,592.08 × 3,009.76
  4. Step 4: Simplify right side
    4,778.08x = 19,840,578.70
  5. Step 5: Solve for x
    x = 19,840,578.70/4,778.08
  6. Step 6: Final answer
    x = 4,152.42

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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.