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Finding the Fourth Proportional to 5,634.53, 7,776.56 and 3,746.15

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Solution

The fourth proportional to 5,634.53, 7,776.56 and 3,746.15 is: 5,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.53 : 7,776.56 = 3,746.15 : x
  2. Step 2: Convert to fraction form
    5,634.53/7,776.56 = 3,746.15/x
  3. Step 3: Cross multiply
    5,634.53x = 7,776.56 × 3,746.15
  4. Step 4: Simplify right side
    5,634.53x = 29,132,130.73
  5. Step 5: Solve for x
    x = 29,132,130.73/5,634.53
  6. Step 6: Final answer
    x = 5,170.29

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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.