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Finding the Fourth Proportional to 3,434.70, 5,152.05 and 3,413.10

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Solution

The fourth proportional to 3,434.70, 5,152.05 and 3,413.10 is: 5,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.70 : 5,152.05 = 3,413.10 : x
  2. Step 2: Convert to fraction form
    3,434.70/5,152.05 = 3,413.10/x
  3. Step 3: Cross multiply
    3,434.70x = 5,152.05 × 3,413.10
  4. Step 4: Simplify right side
    3,434.70x = 17,584,461.86
  5. Step 5: Solve for x
    x = 17,584,461.86/3,434.70
  6. Step 6: Final answer
    x = 5,119.65

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1.5x scale

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.