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Finding the Fourth Proportional to 4,767.24, 7,145.90 and 1,646.16

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Solution

The fourth proportional to 4,767.24, 7,145.90 and 1,646.16 is: 2,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.24 : 7,145.90 = 1,646.16 : x
  2. Step 2: Convert to fraction form
    4,767.24/7,145.90 = 1,646.16/x
  3. Step 3: Cross multiply
    4,767.24x = 7,145.90 × 1,646.16
  4. Step 4: Simplify right side
    4,767.24x = 11,763,294.74
  5. Step 5: Solve for x
    x = 11,763,294.74/4,767.24
  6. Step 6: Final answer
    x = 2,467.53

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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.