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Finding the Fourth Proportional to 5,742.60, 8,556.14 and 5,365.38

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Solution

The fourth proportional to 5,742.60, 8,556.14 and 5,365.38 is: 7,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.60 : 8,556.14 = 5,365.38 : x
  2. Step 2: Convert to fraction form
    5,742.60/8,556.14 = 5,365.38/x
  3. Step 3: Cross multiply
    5,742.60x = 8,556.14 × 5,365.38
  4. Step 4: Simplify right side
    5,742.60x = 45,906,915.61
  5. Step 5: Solve for x
    x = 45,906,915.61/5,742.60
  6. Step 6: Final answer
    x = 7,994.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.