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Finding the Fourth Proportional to 5,459.67, 7,534.40 and 2,975.67

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Solution

The fourth proportional to 5,459.67, 7,534.40 and 2,975.67 is: 4,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.67 : 7,534.40 = 2,975.67 : x
  2. Step 2: Convert to fraction form
    5,459.67/7,534.40 = 2,975.67/x
  3. Step 3: Cross multiply
    5,459.67x = 7,534.40 × 2,975.67
  4. Step 4: Simplify right side
    5,459.67x = 22,419,873.17
  5. Step 5: Solve for x
    x = 22,419,873.17/5,459.67
  6. Step 6: Final answer
    x = 4,106.45

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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.