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Finding the Fourth Proportional to 4,901.32, 7,361.46 and 4,200.13

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Solution

The fourth proportional to 4,901.32, 7,361.46 and 4,200.13 is: 6,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.32 : 7,361.46 = 4,200.13 : x
  2. Step 2: Convert to fraction form
    4,901.32/7,361.46 = 4,200.13/x
  3. Step 3: Cross multiply
    4,901.32x = 7,361.46 × 4,200.13
  4. Step 4: Simplify right side
    4,901.32x = 30,919,088.99
  5. Step 5: Solve for x
    x = 30,919,088.99/4,901.32
  6. Step 6: Final answer
    x = 6,308.32

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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.