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Finding the Fourth Proportional to 3,378.92, 5,064.90 and 1,298.36

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Solution

The fourth proportional to 3,378.92, 5,064.90 and 1,298.36 is: 1,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.92 : 5,064.90 = 1,298.36 : x
  2. Step 2: Convert to fraction form
    3,378.92/5,064.90 = 1,298.36/x
  3. Step 3: Cross multiply
    3,378.92x = 5,064.90 × 1,298.36
  4. Step 4: Simplify right side
    3,378.92x = 6,576,038.24
  5. Step 5: Solve for x
    x = 6,576,038.24/3,378.92
  6. Step 6: Final answer
    x = 1,946.20

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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.