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Finding the Fourth Proportional to 5,210.40, 7,162.62 and 4,489.92

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Solution

The fourth proportional to 5,210.40, 7,162.62 and 4,489.92 is: 6,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.40 : 7,162.62 = 4,489.92 : x
  2. Step 2: Convert to fraction form
    5,210.40/7,162.62 = 4,489.92/x
  3. Step 3: Cross multiply
    5,210.40x = 7,162.62 × 4,489.92
  4. Step 4: Simplify right side
    5,210.40x = 32,159,590.79
  5. Step 5: Solve for x
    x = 32,159,590.79/5,210.40
  6. Step 6: Final answer
    x = 6,172.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.