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Finding the Fourth Proportional to 5,689.26, 7,846.54 and 4,777.26

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Solution

The fourth proportional to 5,689.26, 7,846.54 and 4,777.26 is: 6,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.26 : 7,846.54 = 4,777.26 : x
  2. Step 2: Convert to fraction form
    5,689.26/7,846.54 = 4,777.26/x
  3. Step 3: Cross multiply
    5,689.26x = 7,846.54 × 4,777.26
  4. Step 4: Simplify right side
    5,689.26x = 37,484,920.31
  5. Step 5: Solve for x
    x = 37,484,920.31/5,689.26
  6. Step 6: Final answer
    x = 6,588.72

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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.