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Finding the Fourth Proportional to 7,578.80, 10,458.89 and 4,221.91

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Solution

The fourth proportional to 7,578.80, 10,458.89 and 4,221.91 is: 5,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.80 : 10,458.89 = 4,221.91 : x
  2. Step 2: Convert to fraction form
    7,578.80/10,458.89 = 4,221.91/x
  3. Step 3: Cross multiply
    7,578.80x = 10,458.89 × 4,221.91
  4. Step 4: Simplify right side
    7,578.80x = 44,156,492.28
  5. Step 5: Solve for x
    x = 44,156,492.28/7,578.80
  6. Step 6: Final answer
    x = 5,826.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.