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Finding the Fourth Proportional to 5,281.96, 7,289.12 and 2,924.16

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Solution

The fourth proportional to 5,281.96, 7,289.12 and 2,924.16 is: 4,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.96 : 7,289.12 = 2,924.16 : x
  2. Step 2: Convert to fraction form
    5,281.96/7,289.12 = 2,924.16/x
  3. Step 3: Cross multiply
    5,281.96x = 7,289.12 × 2,924.16
  4. Step 4: Simplify right side
    5,281.96x = 21,314,553.14
  5. Step 5: Solve for x
    x = 21,314,553.14/5,281.96
  6. Step 6: Final answer
    x = 4,035.35

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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.