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Finding the Fourth Proportional to 5,952.81, 8,214.80 and 3,434.93

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Solution

The fourth proportional to 5,952.81, 8,214.80 and 3,434.93 is: 4,740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.81 : 8,214.80 = 3,434.93 : x
  2. Step 2: Convert to fraction form
    5,952.81/8,214.80 = 3,434.93/x
  3. Step 3: Cross multiply
    5,952.81x = 8,214.80 × 3,434.93
  4. Step 4: Simplify right side
    5,952.81x = 28,217,204.72
  5. Step 5: Solve for x
    x = 28,217,204.72/5,952.81
  6. Step 6: Final answer
    x = 4,740.15

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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.