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Finding the Fourth Proportional to 5,271.09, 7,883.34 and 4,690.17

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Solution

The fourth proportional to 5,271.09, 7,883.34 and 4,690.17 is: 7,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.09 : 7,883.34 = 4,690.17 : x
  2. Step 2: Convert to fraction form
    5,271.09/7,883.34 = 4,690.17/x
  3. Step 3: Cross multiply
    5,271.09x = 7,883.34 × 4,690.17
  4. Step 4: Simplify right side
    5,271.09x = 36,974,204.77
  5. Step 5: Solve for x
    x = 36,974,204.77/5,271.09
  6. Step 6: Final answer
    x = 7,014.53

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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.