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Finding the Fourth Proportional to 5,827.16, 8,742.24 and 3,748.16

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Solution

The fourth proportional to 5,827.16, 8,742.24 and 3,748.16 is: 5,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.16 : 8,742.24 = 3,748.16 : x
  2. Step 2: Convert to fraction form
    5,827.16/8,742.24 = 3,748.16/x
  3. Step 3: Cross multiply
    5,827.16x = 8,742.24 × 3,748.16
  4. Step 4: Simplify right side
    5,827.16x = 32,767,314.28
  5. Step 5: Solve for x
    x = 32,767,314.28/5,827.16
  6. Step 6: Final answer
    x = 5,623.20

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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.