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Finding the Fourth Proportional to 5,777.64, 7,973.10 and 4,519.98

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Solution

The fourth proportional to 5,777.64, 7,973.10 and 4,519.98 is: 6,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.64 : 7,973.10 = 4,519.98 : x
  2. Step 2: Convert to fraction form
    5,777.64/7,973.10 = 4,519.98/x
  3. Step 3: Cross multiply
    5,777.64x = 7,973.10 × 4,519.98
  4. Step 4: Simplify right side
    5,777.64x = 36,038,252.54
  5. Step 5: Solve for x
    x = 36,038,252.54/5,777.64
  6. Step 6: Final answer
    x = 6,237.54

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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.