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Finding the Fourth Proportional to 5,409.23, 7,464.90 and 3,019.16

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Solution

The fourth proportional to 5,409.23, 7,464.90 and 3,019.16 is: 4,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.23 : 7,464.90 = 3,019.16 : x
  2. Step 2: Convert to fraction form
    5,409.23/7,464.90 = 3,019.16/x
  3. Step 3: Cross multiply
    5,409.23x = 7,464.90 × 3,019.16
  4. Step 4: Simplify right side
    5,409.23x = 22,537,678.28
  5. Step 5: Solve for x
    x = 22,537,678.28/5,409.23
  6. Step 6: Final answer
    x = 4,166.52

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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.