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Finding the Fourth Proportional to 3,499.50, 4,827.78 and 2,153.91

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Solution

The fourth proportional to 3,499.50, 4,827.78 and 2,153.91 is: 2,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.50 : 4,827.78 = 2,153.91 : x
  2. Step 2: Convert to fraction form
    3,499.50/4,827.78 = 2,153.91/x
  3. Step 3: Cross multiply
    3,499.50x = 4,827.78 × 2,153.91
  4. Step 4: Simplify right side
    3,499.50x = 10,398,603.62
  5. Step 5: Solve for x
    x = 10,398,603.62/3,499.50
  6. Step 6: Final answer
    x = 2,971.45

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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.