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Finding the Fourth Proportional to 5,102.51, 7,638.90 and 3,792.08

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Solution

The fourth proportional to 5,102.51, 7,638.90 and 3,792.08 is: 5,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.51 : 7,638.90 = 3,792.08 : x
  2. Step 2: Convert to fraction form
    5,102.51/7,638.90 = 3,792.08/x
  3. Step 3: Cross multiply
    5,102.51x = 7,638.90 × 3,792.08
  4. Step 4: Simplify right side
    5,102.51x = 28,967,319.91
  5. Step 5: Solve for x
    x = 28,967,319.91/5,102.51
  6. Step 6: Final answer
    x = 5,677.07

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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.