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Finding the Fourth Proportional to 5,337.46, 8,007.71 and 1,827.93

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Solution

The fourth proportional to 5,337.46, 8,007.71 and 1,827.93 is: 2,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.46 : 8,007.71 = 1,827.93 : x
  2. Step 2: Convert to fraction form
    5,337.46/8,007.71 = 1,827.93/x
  3. Step 3: Cross multiply
    5,337.46x = 8,007.71 × 1,827.93
  4. Step 4: Simplify right side
    5,337.46x = 14,637,524.20
  5. Step 5: Solve for x
    x = 14,637,524.20/5,337.46
  6. Step 6: Final answer
    x = 2,742.42

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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.