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Finding the Fourth Proportional to 3,497.32, 4,822.34 and 2,551.44

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Solution

The fourth proportional to 3,497.32, 4,822.34 and 2,551.44 is: 3,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.32 : 4,822.34 = 2,551.44 : x
  2. Step 2: Convert to fraction form
    3,497.32/4,822.34 = 2,551.44/x
  3. Step 3: Cross multiply
    3,497.32x = 4,822.34 × 2,551.44
  4. Step 4: Simplify right side
    3,497.32x = 12,303,911.17
  5. Step 5: Solve for x
    x = 12,303,911.17/3,497.32
  6. Step 6: Final answer
    x = 3,518.10

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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.