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Finding the Fourth Proportional to 4,772, 6,586.08 and 2,910.08

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Solution

The fourth proportional to 4,772, 6,586.08 and 2,910.08 is: 4,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772 : 6,586.08 = 2,910.08 : x
  2. Step 2: Convert to fraction form
    4,772/6,586.08 = 2,910.08/x
  3. Step 3: Cross multiply
    4,772x = 6,586.08 × 2,910.08
  4. Step 4: Simplify right side
    4,772x = 19,166,019.69
  5. Step 5: Solve for x
    x = 19,166,019.69/4,772
  6. Step 6: Final answer
    x = 4,016.35

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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.