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Finding the Fourth Proportional to 4,647.59, 6,378.09 and 4,614.78

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Solution

The fourth proportional to 4,647.59, 6,378.09 and 4,614.78 is: 6,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.59 : 6,378.09 = 4,614.78 : x
  2. Step 2: Convert to fraction form
    4,647.59/6,378.09 = 4,614.78/x
  3. Step 3: Cross multiply
    4,647.59x = 6,378.09 × 4,614.78
  4. Step 4: Simplify right side
    4,647.59x = 29,433,482.17
  5. Step 5: Solve for x
    x = 29,433,482.17/4,647.59
  6. Step 6: Final answer
    x = 6,333.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.