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Finding the Fourth Proportional to 4,767.58, 7,143.56 and 4,585.33

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Solution

The fourth proportional to 4,767.58, 7,143.56 and 4,585.33 is: 6,870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.58 : 7,143.56 = 4,585.33 : x
  2. Step 2: Convert to fraction form
    4,767.58/7,143.56 = 4,585.33/x
  3. Step 3: Cross multiply
    4,767.58x = 7,143.56 × 4,585.33
  4. Step 4: Simplify right side
    4,767.58x = 32,755,579.97
  5. Step 5: Solve for x
    x = 32,755,579.97/4,767.58
  6. Step 6: Final answer
    x = 6,870.48

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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.