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Finding the Fourth Proportional to 4,877.54, 7,311.70 and 4,444.19

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Solution

The fourth proportional to 4,877.54, 7,311.70 and 4,444.19 is: 6,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.54 : 7,311.70 = 4,444.19 : x
  2. Step 2: Convert to fraction form
    4,877.54/7,311.70 = 4,444.19/x
  3. Step 3: Cross multiply
    4,877.54x = 7,311.70 × 4,444.19
  4. Step 4: Simplify right side
    4,877.54x = 32,494,584.02
  5. Step 5: Solve for x
    x = 32,494,584.02/4,877.54
  6. Step 6: Final answer
    x = 6,662.08

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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.