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Finding the Fourth Proportional to 5,635.36, 7,784.18 and 4,325.23

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Solution

The fourth proportional to 5,635.36, 7,784.18 and 4,325.23 is: 5,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.36 : 7,784.18 = 4,325.23 : x
  2. Step 2: Convert to fraction form
    5,635.36/7,784.18 = 4,325.23/x
  3. Step 3: Cross multiply
    5,635.36x = 7,784.18 × 4,325.23
  4. Step 4: Simplify right side
    5,635.36x = 33,668,368.86
  5. Step 5: Solve for x
    x = 33,668,368.86/5,635.36
  6. Step 6: Final answer
    x = 5,974.48

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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.