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Finding the Fourth Proportional to 3,409.38, 4,702.56 and 3,295.08

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Solution

The fourth proportional to 3,409.38, 4,702.56 and 3,295.08 is: 4,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.38 : 4,702.56 = 3,295.08 : x
  2. Step 2: Convert to fraction form
    3,409.38/4,702.56 = 3,295.08/x
  3. Step 3: Cross multiply
    3,409.38x = 4,702.56 × 3,295.08
  4. Step 4: Simplify right side
    3,409.38x = 15,495,311.40
  5. Step 5: Solve for x
    x = 15,495,311.40/3,409.38
  6. Step 6: Final answer
    x = 4,544.91

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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.