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Finding the Fourth Proportional to 5,617.84, 8,428.08 and 1,722.16

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Solution

The fourth proportional to 5,617.84, 8,428.08 and 1,722.16 is: 2,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.84 : 8,428.08 = 1,722.16 : x
  2. Step 2: Convert to fraction form
    5,617.84/8,428.08 = 1,722.16/x
  3. Step 3: Cross multiply
    5,617.84x = 8,428.08 × 1,722.16
  4. Step 4: Simplify right side
    5,617.84x = 14,514,502.25
  5. Step 5: Solve for x
    x = 14,514,502.25/5,617.84
  6. Step 6: Final answer
    x = 2,583.64

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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.