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Finding the Fourth Proportional to 4,861.61, 6,710 and 4,021.44

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Solution

The fourth proportional to 4,861.61, 6,710 and 4,021.44 is: 5,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.61 : 6,710 = 4,021.44 : x
  2. Step 2: Convert to fraction form
    4,861.61/6,710 = 4,021.44/x
  3. Step 3: Cross multiply
    4,861.61x = 6,710 × 4,021.44
  4. Step 4: Simplify right side
    4,861.61x = 26,983,862.40
  5. Step 5: Solve for x
    x = 26,983,862.40/4,861.61
  6. Step 6: Final answer
    x = 5,550.40

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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.