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Finding the Fourth Proportional to 4,464.67, 6,697.16 and 2,123.47

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Solution

The fourth proportional to 4,464.67, 6,697.16 and 2,123.47 is: 3,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.67 : 6,697.16 = 2,123.47 : x
  2. Step 2: Convert to fraction form
    4,464.67/6,697.16 = 2,123.47/x
  3. Step 3: Cross multiply
    4,464.67x = 6,697.16 × 2,123.47
  4. Step 4: Simplify right side
    4,464.67x = 14,221,218.35
  5. Step 5: Solve for x
    x = 14,221,218.35/4,464.67
  6. Step 6: Final answer
    x = 3,185.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.