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Finding the Fourth Proportional to 5,876.49, 8,091.59 and 5,406.29

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Solution

The fourth proportional to 5,876.49, 8,091.59 and 5,406.29 is: 7,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.49 : 8,091.59 = 5,406.29 : x
  2. Step 2: Convert to fraction form
    5,876.49/8,091.59 = 5,406.29/x
  3. Step 3: Cross multiply
    5,876.49x = 8,091.59 × 5,406.29
  4. Step 4: Simplify right side
    5,876.49x = 43,745,482.10
  5. Step 5: Solve for x
    x = 43,745,482.10/5,876.49
  6. Step 6: Final answer
    x = 7,444.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.