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Finding the Fourth Proportional to 4,665.48, 6,998.33 and 1,742.19

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Solution

The fourth proportional to 4,665.48, 6,998.33 and 1,742.19 is: 2,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.48 : 6,998.33 = 1,742.19 : x
  2. Step 2: Convert to fraction form
    4,665.48/6,998.33 = 1,742.19/x
  3. Step 3: Cross multiply
    4,665.48x = 6,998.33 × 1,742.19
  4. Step 4: Simplify right side
    4,665.48x = 12,192,411.83
  5. Step 5: Solve for x
    x = 12,192,411.83/4,665.48
  6. Step 6: Final answer
    x = 2,613.32

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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.