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Finding the Fourth Proportional to 3,371.04, 5,056.14 and 906.06

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Solution

The fourth proportional to 3,371.04, 5,056.14 and 906.06 is: 1,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.04 : 5,056.14 = 906.06 : x
  2. Step 2: Convert to fraction form
    3,371.04/5,056.14 = 906.06/x
  3. Step 3: Cross multiply
    3,371.04x = 5,056.14 × 906.06
  4. Step 4: Simplify right side
    3,371.04x = 4,581,166.21
  5. Step 5: Solve for x
    x = 4,581,166.21/3,371.04
  6. Step 6: Final answer
    x = 1,358.98

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Why These Related Problems?

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