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Finding the Fourth Proportional to 5,271.64, 7,907.28 and 2,499.64

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Solution

The fourth proportional to 5,271.64, 7,907.28 and 2,499.64 is: 3,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.64 : 7,907.28 = 2,499.64 : x
  2. Step 2: Convert to fraction form
    5,271.64/7,907.28 = 2,499.64/x
  3. Step 3: Cross multiply
    5,271.64x = 7,907.28 × 2,499.64
  4. Step 4: Simplify right side
    5,271.64x = 19,765,353.38
  5. Step 5: Solve for x
    x = 19,765,353.38/5,271.64
  6. Step 6: Final answer
    x = 3,749.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.