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Finding the Fourth Proportional to 3,492.36, 5,238.46 and 895.28

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Solution

The fourth proportional to 3,492.36, 5,238.46 and 895.28 is: 1,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.36 : 5,238.46 = 895.28 : x
  2. Step 2: Convert to fraction form
    3,492.36/5,238.46 = 895.28/x
  3. Step 3: Cross multiply
    3,492.36x = 5,238.46 × 895.28
  4. Step 4: Simplify right side
    3,492.36x = 4,689,888.47
  5. Step 5: Solve for x
    x = 4,689,888.47/3,492.36
  6. Step 6: Final answer
    x = 1,342.90

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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.