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Finding the Fourth Proportional to 5,775.66, 7,970.13 and 3,257.79

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Solution

The fourth proportional to 5,775.66, 7,970.13 and 3,257.79 is: 4,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.66 : 7,970.13 = 3,257.79 : x
  2. Step 2: Convert to fraction form
    5,775.66/7,970.13 = 3,257.79/x
  3. Step 3: Cross multiply
    5,775.66x = 7,970.13 × 3,257.79
  4. Step 4: Simplify right side
    5,775.66x = 25,965,009.81
  5. Step 5: Solve for x
    x = 25,965,009.81/5,775.66
  6. Step 6: Final answer
    x = 4,495.59

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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.