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Finding the Fourth Proportional to 5,706.95, 7,874.15 and 3,348.63

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Solution

The fourth proportional to 5,706.95, 7,874.15 and 3,348.63 is: 4,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.95 : 7,874.15 = 3,348.63 : x
  2. Step 2: Convert to fraction form
    5,706.95/7,874.15 = 3,348.63/x
  3. Step 3: Cross multiply
    5,706.95x = 7,874.15 × 3,348.63
  4. Step 4: Simplify right side
    5,706.95x = 26,367,598.17
  5. Step 5: Solve for x
    x = 26,367,598.17/5,706.95
  6. Step 6: Final answer
    x = 4,620.26

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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.