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Finding the Fourth Proportional to 3,702.57, 5,109.70 and 2,130.67

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Solution

The fourth proportional to 3,702.57, 5,109.70 and 2,130.67 is: 2,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.57 : 5,109.70 = 2,130.67 : x
  2. Step 2: Convert to fraction form
    3,702.57/5,109.70 = 2,130.67/x
  3. Step 3: Cross multiply
    3,702.57x = 5,109.70 × 2,130.67
  4. Step 4: Simplify right side
    3,702.57x = 10,887,084.50
  5. Step 5: Solve for x
    x = 10,887,084.50/3,702.57
  6. Step 6: Final answer
    x = 2,940.41

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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.