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Finding the Fourth Proportional to 5,703.29, 7,872.95 and 3,465.89

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Solution

The fourth proportional to 5,703.29, 7,872.95 and 3,465.89 is: 4,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.29 : 7,872.95 = 3,465.89 : x
  2. Step 2: Convert to fraction form
    5,703.29/7,872.95 = 3,465.89/x
  3. Step 3: Cross multiply
    5,703.29x = 7,872.95 × 3,465.89
  4. Step 4: Simplify right side
    5,703.29x = 27,286,778.68
  5. Step 5: Solve for x
    x = 27,286,778.68/5,703.29
  6. Step 6: Final answer
    x = 4,784.39

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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.