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Finding the Fourth Proportional to 3,358.70, 5,038.05 and 1,306.70

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Solution

The fourth proportional to 3,358.70, 5,038.05 and 1,306.70 is: 1,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.70 : 5,038.05 = 1,306.70 : x
  2. Step 2: Convert to fraction form
    3,358.70/5,038.05 = 1,306.70/x
  3. Step 3: Cross multiply
    3,358.70x = 5,038.05 × 1,306.70
  4. Step 4: Simplify right side
    3,358.70x = 6,583,219.94
  5. Step 5: Solve for x
    x = 6,583,219.94/3,358.70
  6. Step 6: Final answer
    x = 1,960.05

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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.