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Finding the Fourth Proportional to 4,895, 7,342.54 and 1,432.28

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Solution

The fourth proportional to 4,895, 7,342.54 and 1,432.28 is: 2,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895 : 7,342.54 = 1,432.28 : x
  2. Step 2: Convert to fraction form
    4,895/7,342.54 = 1,432.28/x
  3. Step 3: Cross multiply
    4,895x = 7,342.54 × 1,432.28
  4. Step 4: Simplify right side
    4,895x = 10,516,573.19
  5. Step 5: Solve for x
    x = 10,516,573.19/4,895
  6. Step 6: Final answer
    x = 2,148.43

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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.