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Finding the Fourth Proportional to 4,565.78, 6,851.70 and 1,644.08

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Solution

The fourth proportional to 4,565.78, 6,851.70 and 1,644.08 is: 2,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.78 : 6,851.70 = 1,644.08 : x
  2. Step 2: Convert to fraction form
    4,565.78/6,851.70 = 1,644.08/x
  3. Step 3: Cross multiply
    4,565.78x = 6,851.70 × 1,644.08
  4. Step 4: Simplify right side
    4,565.78x = 11,264,742.94
  5. Step 5: Solve for x
    x = 11,264,742.94/4,565.78
  6. Step 6: Final answer
    x = 2,467.21

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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.