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Finding the Fourth Proportional to 3,409.60, 4,702.90 and 3,295.32

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Solution

The fourth proportional to 3,409.60, 4,702.90 and 3,295.32 is: 4,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.60 : 4,702.90 = 3,295.32 : x
  2. Step 2: Convert to fraction form
    3,409.60/4,702.90 = 3,295.32/x
  3. Step 3: Cross multiply
    3,409.60x = 4,702.90 × 3,295.32
  4. Step 4: Simplify right side
    3,409.60x = 15,497,560.43
  5. Step 5: Solve for x
    x = 15,497,560.43/3,409.60
  6. Step 6: Final answer
    x = 4,545.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.