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Finding the Fourth Proportional to 3,492.32, 5,238.41 and 895.25

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Solution

The fourth proportional to 3,492.32, 5,238.41 and 895.25 is: 1,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.32 : 5,238.41 = 895.25 : x
  2. Step 2: Convert to fraction form
    3,492.32/5,238.41 = 895.25/x
  3. Step 3: Cross multiply
    3,492.32x = 5,238.41 × 895.25
  4. Step 4: Simplify right side
    3,492.32x = 4,689,695.17
  5. Step 5: Solve for x
    x = 4,689,695.17/3,492.32
  6. Step 6: Final answer
    x = 1,342.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.