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Finding the Fourth Proportional to 5,693.49, 7,864.49 and 4,364.89

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Solution

The fourth proportional to 5,693.49, 7,864.49 and 4,364.89 is: 6,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.49 : 7,864.49 = 4,364.89 : x
  2. Step 2: Convert to fraction form
    5,693.49/7,864.49 = 4,364.89/x
  3. Step 3: Cross multiply
    5,693.49x = 7,864.49 × 4,364.89
  4. Step 4: Simplify right side
    5,693.49x = 34,327,633.76
  5. Step 5: Solve for x
    x = 34,327,633.76/5,693.49
  6. Step 6: Final answer
    x = 6,029.28

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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.