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Finding the Fourth Proportional to 5,647.90, 8,459.70 and 3,047.80

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Solution

The fourth proportional to 5,647.90, 8,459.70 and 3,047.80 is: 4,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.90 : 8,459.70 = 3,047.80 : x
  2. Step 2: Convert to fraction form
    5,647.90/8,459.70 = 3,047.80/x
  3. Step 3: Cross multiply
    5,647.90x = 8,459.70 × 3,047.80
  4. Step 4: Simplify right side
    5,647.90x = 25,783,473.66
  5. Step 5: Solve for x
    x = 25,783,473.66/5,647.90
  6. Step 6: Final answer
    x = 4,565.14

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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.