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Finding the Fourth Proportional to 5,297.58, 7,309.50 and 3,201.66

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Solution

The fourth proportional to 5,297.58, 7,309.50 and 3,201.66 is: 4,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.58 : 7,309.50 = 3,201.66 : x
  2. Step 2: Convert to fraction form
    5,297.58/7,309.50 = 3,201.66/x
  3. Step 3: Cross multiply
    5,297.58x = 7,309.50 × 3,201.66
  4. Step 4: Simplify right side
    5,297.58x = 23,402,533.77
  5. Step 5: Solve for x
    x = 23,402,533.77/5,297.58
  6. Step 6: Final answer
    x = 4,417.59

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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.