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Finding the Fourth Proportional to 5,367.04, 7,406.89 and 2,977.13

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Solution

The fourth proportional to 5,367.04, 7,406.89 and 2,977.13 is: 4,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.04 : 7,406.89 = 2,977.13 : x
  2. Step 2: Convert to fraction form
    5,367.04/7,406.89 = 2,977.13/x
  3. Step 3: Cross multiply
    5,367.04x = 7,406.89 × 2,977.13
  4. Step 4: Simplify right side
    5,367.04x = 22,051,285.50
  5. Step 5: Solve for x
    x = 22,051,285.50/5,367.04
  6. Step 6: Final answer
    x = 4,108.65

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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.