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Finding the Fourth Proportional to 5,228.15, 7,206.17 and 5,089.64

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Solution

The fourth proportional to 5,228.15, 7,206.17 and 5,089.64 is: 7,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.15 : 7,206.17 = 5,089.64 : x
  2. Step 2: Convert to fraction form
    5,228.15/7,206.17 = 5,089.64/x
  3. Step 3: Cross multiply
    5,228.15x = 7,206.17 × 5,089.64
  4. Step 4: Simplify right side
    5,228.15x = 36,676,749.60
  5. Step 5: Solve for x
    x = 36,676,749.60/5,228.15
  6. Step 6: Final answer
    x = 7,015.25

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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.