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Finding the Fourth Proportional to 3,780.03, 5,670.05 and 1,147.56

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Solution

The fourth proportional to 3,780.03, 5,670.05 and 1,147.56 is: 1,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.03 : 5,670.05 = 1,147.56 : x
  2. Step 2: Convert to fraction form
    3,780.03/5,670.05 = 1,147.56/x
  3. Step 3: Cross multiply
    3,780.03x = 5,670.05 × 1,147.56
  4. Step 4: Simplify right side
    3,780.03x = 6,506,722.58
  5. Step 5: Solve for x
    x = 6,506,722.58/3,780.03
  6. Step 6: Final answer
    x = 1,721.34

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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.