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Finding the Fourth Proportional to 5,072.52, 7,000.26 and 2,977.32

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Solution

The fourth proportional to 5,072.52, 7,000.26 and 2,977.32 is: 4,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.52 : 7,000.26 = 2,977.32 : x
  2. Step 2: Convert to fraction form
    5,072.52/7,000.26 = 2,977.32/x
  3. Step 3: Cross multiply
    5,072.52x = 7,000.26 × 2,977.32
  4. Step 4: Simplify right side
    5,072.52x = 20,842,014.10
  5. Step 5: Solve for x
    x = 20,842,014.10/5,072.52
  6. Step 6: Final answer
    x = 4,108.81

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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.