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Finding the Fourth Proportional to 5,616.66, 8,426.99 and 3,534.35

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Solution

The fourth proportional to 5,616.66, 8,426.99 and 3,534.35 is: 5,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.66 : 8,426.99 = 3,534.35 : x
  2. Step 2: Convert to fraction form
    5,616.66/8,426.99 = 3,534.35/x
  3. Step 3: Cross multiply
    5,616.66x = 8,426.99 × 3,534.35
  4. Step 4: Simplify right side
    5,616.66x = 29,783,898.81
  5. Step 5: Solve for x
    x = 29,783,898.81/5,616.66
  6. Step 6: Final answer
    x = 5,302.77

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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.