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Finding the Fourth Proportional to 5,409.24, 7,464.80 and 3,019.18

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Solution

The fourth proportional to 5,409.24, 7,464.80 and 3,019.18 is: 4,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.24 : 7,464.80 = 3,019.18 : x
  2. Step 2: Convert to fraction form
    5,409.24/7,464.80 = 3,019.18/x
  3. Step 3: Cross multiply
    5,409.24x = 7,464.80 × 3,019.18
  4. Step 4: Simplify right side
    5,409.24x = 22,537,574.86
  5. Step 5: Solve for x
    x = 22,537,574.86/5,409.24
  6. Step 6: Final answer
    x = 4,166.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.