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Finding the Fourth Proportional to 5,378.54, 8,084.27 and 4,460.00

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Solution

The fourth proportional to 5,378.54, 8,084.27 and 4,460.00 is: 6,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.54 : 8,084.27 = 4,460.00 : x
  2. Step 2: Convert to fraction form
    5,378.54/8,084.27 = 4,460.00/x
  3. Step 3: Cross multiply
    5,378.54x = 8,084.27 × 4,460.00
  4. Step 4: Simplify right side
    5,378.54x = 36,055,814.93
  5. Step 5: Solve for x
    x = 36,055,814.93/5,378.54
  6. Step 6: Final answer
    x = 6,703.65

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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.