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Finding the Fourth Proportional to 4,309.58, 6,421.01 and 4,026.66

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Solution

The fourth proportional to 4,309.58, 6,421.01 and 4,026.66 is: 5,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.58 : 6,421.01 = 4,026.66 : x
  2. Step 2: Convert to fraction form
    4,309.58/6,421.01 = 4,026.66/x
  3. Step 3: Cross multiply
    4,309.58x = 6,421.01 × 4,026.66
  4. Step 4: Simplify right side
    4,309.58x = 25,855,224.13
  5. Step 5: Solve for x
    x = 25,855,224.13/4,309.58
  6. Step 6: Final answer
    x = 5,999.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.