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Finding the Fourth Proportional to 4,961.94, 7,444.32 and 4,046.16

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Solution

The fourth proportional to 4,961.94, 7,444.32 and 4,046.16 is: 6,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.94 : 7,444.32 = 4,046.16 : x
  2. Step 2: Convert to fraction form
    4,961.94/7,444.32 = 4,046.16/x
  3. Step 3: Cross multiply
    4,961.94x = 7,444.32 × 4,046.16
  4. Step 4: Simplify right side
    4,961.94x = 30,120,909.81
  5. Step 5: Solve for x
    x = 30,120,909.81/4,961.94
  6. Step 6: Final answer
    x = 6,070.39

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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.