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Finding the Fourth Proportional to 3,472.18, 5,206.44 and 2,783.28

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Solution

The fourth proportional to 3,472.18, 5,206.44 and 2,783.28 is: 4,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.18 : 5,206.44 = 2,783.28 : x
  2. Step 2: Convert to fraction form
    3,472.18/5,206.44 = 2,783.28/x
  3. Step 3: Cross multiply
    3,472.18x = 5,206.44 × 2,783.28
  4. Step 4: Simplify right side
    3,472.18x = 14,490,980.32
  5. Step 5: Solve for x
    x = 14,490,980.32/3,472.18
  6. Step 6: Final answer
    x = 4,173.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.