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Finding the Fourth Proportional to 3,466.59, 5,196.84 and 1,518.13

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Solution

The fourth proportional to 3,466.59, 5,196.84 and 1,518.13 is: 2,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.59 : 5,196.84 = 1,518.13 : x
  2. Step 2: Convert to fraction form
    3,466.59/5,196.84 = 1,518.13/x
  3. Step 3: Cross multiply
    3,466.59x = 5,196.84 × 1,518.13
  4. Step 4: Simplify right side
    3,466.59x = 7,889,478.71
  5. Step 5: Solve for x
    x = 7,889,478.71/3,466.59
  6. Step 6: Final answer
    x = 2,275.86

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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.