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Finding the Fourth Proportional to 5,931.63, 8,189.10 and 3,574.53

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Solution

The fourth proportional to 5,931.63, 8,189.10 and 3,574.53 is: 4,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.63 : 8,189.10 = 3,574.53 : x
  2. Step 2: Convert to fraction form
    5,931.63/8,189.10 = 3,574.53/x
  3. Step 3: Cross multiply
    5,931.63x = 8,189.10 × 3,574.53
  4. Step 4: Simplify right side
    5,931.63x = 29,272,183.62
  5. Step 5: Solve for x
    x = 29,272,183.62/5,931.63
  6. Step 6: Final answer
    x = 4,934.93

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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.