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Finding the Fourth Proportional to 4,866.58, 7,298.34 and 1,578.91

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Solution

The fourth proportional to 4,866.58, 7,298.34 and 1,578.91 is: 2,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.58 : 7,298.34 = 1,578.91 : x
  2. Step 2: Convert to fraction form
    4,866.58/7,298.34 = 1,578.91/x
  3. Step 3: Cross multiply
    4,866.58x = 7,298.34 × 1,578.91
  4. Step 4: Simplify right side
    4,866.58x = 11,523,422.01
  5. Step 5: Solve for x
    x = 11,523,422.01/4,866.58
  6. Step 6: Final answer
    x = 2,367.87

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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.