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Finding the Fourth Proportional to 4,862.44, 7,288.62 and 4,434.76

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Solution

The fourth proportional to 4,862.44, 7,288.62 and 4,434.76 is: 6,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.44 : 7,288.62 = 4,434.76 : x
  2. Step 2: Convert to fraction form
    4,862.44/7,288.62 = 4,434.76/x
  3. Step 3: Cross multiply
    4,862.44x = 7,288.62 × 4,434.76
  4. Step 4: Simplify right side
    4,862.44x = 32,323,280.43
  5. Step 5: Solve for x
    x = 32,323,280.43/4,862.44
  6. Step 6: Final answer
    x = 6,647.54

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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.