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Finding the Fourth Proportional to 4,835.28, 7,253.15 and 1,505.80

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Solution

The fourth proportional to 4,835.28, 7,253.15 and 1,505.80 is: 2,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.28 : 7,253.15 = 1,505.80 : x
  2. Step 2: Convert to fraction form
    4,835.28/7,253.15 = 1,505.80/x
  3. Step 3: Cross multiply
    4,835.28x = 7,253.15 × 1,505.80
  4. Step 4: Simplify right side
    4,835.28x = 10,921,780.11
  5. Step 5: Solve for x
    x = 10,921,780.11/4,835.28
  6. Step 6: Final answer
    x = 2,258.77

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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.