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Finding the Fourth Proportional to 4,878.24, 7,321.45 and 4,570.68

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Solution

The fourth proportional to 4,878.24, 7,321.45 and 4,570.68 is: 6,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.24 : 7,321.45 = 4,570.68 : x
  2. Step 2: Convert to fraction form
    4,878.24/7,321.45 = 4,570.68/x
  3. Step 3: Cross multiply
    4,878.24x = 7,321.45 × 4,570.68
  4. Step 4: Simplify right side
    4,878.24x = 33,464,005.09
  5. Step 5: Solve for x
    x = 33,464,005.09/4,878.24
  6. Step 6: Final answer
    x = 6,859.85

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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.