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Finding the Fourth Proportional to 5,345.60, 8,019.41 and 2,424.13

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Solution

The fourth proportional to 5,345.60, 8,019.41 and 2,424.13 is: 3,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.60 : 8,019.41 = 2,424.13 : x
  2. Step 2: Convert to fraction form
    5,345.60/8,019.41 = 2,424.13/x
  3. Step 3: Cross multiply
    5,345.60x = 8,019.41 × 2,424.13
  4. Step 4: Simplify right side
    5,345.60x = 19,440,060.19
  5. Step 5: Solve for x
    x = 19,440,060.19/5,345.60
  6. Step 6: Final answer
    x = 3,636.65

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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.