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Finding the Fourth Proportional to 5,578.16, 7,693.56 and 4,085.54

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Solution

The fourth proportional to 5,578.16, 7,693.56 and 4,085.54 is: 5,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.16 : 7,693.56 = 4,085.54 : x
  2. Step 2: Convert to fraction form
    5,578.16/7,693.56 = 4,085.54/x
  3. Step 3: Cross multiply
    5,578.16x = 7,693.56 × 4,085.54
  4. Step 4: Simplify right side
    5,578.16x = 31,432,347.12
  5. Step 5: Solve for x
    x = 31,432,347.12/5,578.16
  6. Step 6: Final answer
    x = 5,634.90

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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.