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Finding the Fourth Proportional to 3,788.16, 5,656.70 and 3,096.18

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Solution

The fourth proportional to 3,788.16, 5,656.70 and 3,096.18 is: 4,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.16 : 5,656.70 = 3,096.18 : x
  2. Step 2: Convert to fraction form
    3,788.16/5,656.70 = 3,096.18/x
  3. Step 3: Cross multiply
    3,788.16x = 5,656.70 × 3,096.18
  4. Step 4: Simplify right side
    3,788.16x = 17,514,161.41
  5. Step 5: Solve for x
    x = 17,514,161.41/3,788.16
  6. Step 6: Final answer
    x = 4,623.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.