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Finding the Fourth Proportional to 5,091.84, 7,641.60 and 4,078.08

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Solution

The fourth proportional to 5,091.84, 7,641.60 and 4,078.08 is: 6,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.84 : 7,641.60 = 4,078.08 : x
  2. Step 2: Convert to fraction form
    5,091.84/7,641.60 = 4,078.08/x
  3. Step 3: Cross multiply
    5,091.84x = 7,641.60 × 4,078.08
  4. Step 4: Simplify right side
    5,091.84x = 31,163,056.13
  5. Step 5: Solve for x
    x = 31,163,056.13/5,091.84
  6. Step 6: Final answer
    x = 6,120.20

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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.