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Finding the Fourth Proportional to 5,686.88, 7,845.60 and 3,562.08

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Solution

The fourth proportional to 5,686.88, 7,845.60 and 3,562.08 is: 4,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.88 : 7,845.60 = 3,562.08 : x
  2. Step 2: Convert to fraction form
    5,686.88/7,845.60 = 3,562.08/x
  3. Step 3: Cross multiply
    5,686.88x = 7,845.60 × 3,562.08
  4. Step 4: Simplify right side
    5,686.88x = 27,946,654.85
  5. Step 5: Solve for x
    x = 27,946,654.85/5,686.88
  6. Step 6: Final answer
    x = 4,914.23

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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.