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Finding the Fourth Proportional to 5,607.60, 7,682.44 and 5,397.40

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Solution

The fourth proportional to 5,607.60, 7,682.44 and 5,397.40 is: 7,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.60 : 7,682.44 = 5,397.40 : x
  2. Step 2: Convert to fraction form
    5,607.60/7,682.44 = 5,397.40/x
  3. Step 3: Cross multiply
    5,607.60x = 7,682.44 × 5,397.40
  4. Step 4: Simplify right side
    5,607.60x = 41,465,201.66
  5. Step 5: Solve for x
    x = 41,465,201.66/5,607.60
  6. Step 6: Final answer
    x = 7,394.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.