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Finding the Fourth Proportional to 5,314.41, 7,973.64 and 2,542.32

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Solution

The fourth proportional to 5,314.41, 7,973.64 and 2,542.32 is: 3,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.41 : 7,973.64 = 2,542.32 : x
  2. Step 2: Convert to fraction form
    5,314.41/7,973.64 = 2,542.32/x
  3. Step 3: Cross multiply
    5,314.41x = 7,973.64 × 2,542.32
  4. Step 4: Simplify right side
    5,314.41x = 20,271,544.44
  5. Step 5: Solve for x
    x = 20,271,544.44/5,314.41
  6. Step 6: Final answer
    x = 3,814.45

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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.