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Finding the Fourth Proportional to 3,487.88, 5,210.74 and 2,245.16

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Solution

The fourth proportional to 3,487.88, 5,210.74 and 2,245.16 is: 3,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.88 : 5,210.74 = 2,245.16 : x
  2. Step 2: Convert to fraction form
    3,487.88/5,210.74 = 2,245.16/x
  3. Step 3: Cross multiply
    3,487.88x = 5,210.74 × 2,245.16
  4. Step 4: Simplify right side
    3,487.88x = 11,698,945.02
  5. Step 5: Solve for x
    x = 11,698,945.02/3,487.88
  6. Step 6: Final answer
    x = 3,354.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.