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Finding the Fourth Proportional to 5,492.34, 7,578.36 and 4,442.58

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Solution

The fourth proportional to 5,492.34, 7,578.36 and 4,442.58 is: 6,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.34 : 7,578.36 = 4,442.58 : x
  2. Step 2: Convert to fraction form
    5,492.34/7,578.36 = 4,442.58/x
  3. Step 3: Cross multiply
    5,492.34x = 7,578.36 × 4,442.58
  4. Step 4: Simplify right side
    5,492.34x = 33,667,470.57
  5. Step 5: Solve for x
    x = 33,667,470.57/5,492.34
  6. Step 6: Final answer
    x = 6,129.90

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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.