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Finding the Fourth Proportional to 6,578.94, 9,085.11 and 4,225.20

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Solution

The fourth proportional to 6,578.94, 9,085.11 and 4,225.20 is: 5,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.94 : 9,085.11 = 4,225.20 : x
  2. Step 2: Convert to fraction form
    6,578.94/9,085.11 = 4,225.20/x
  3. Step 3: Cross multiply
    6,578.94x = 9,085.11 × 4,225.20
  4. Step 4: Simplify right side
    6,578.94x = 38,386,406.77
  5. Step 5: Solve for x
    x = 38,386,406.77/6,578.94
  6. Step 6: Final answer
    x = 5,834.74

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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.