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Finding the Fourth Proportional to 3,347.66, 4,620.31 and 3,200.01

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Solution

The fourth proportional to 3,347.66, 4,620.31 and 3,200.01 is: 4,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.66 : 4,620.31 = 3,200.01 : x
  2. Step 2: Convert to fraction form
    3,347.66/4,620.31 = 3,200.01/x
  3. Step 3: Cross multiply
    3,347.66x = 4,620.31 × 3,200.01
  4. Step 4: Simplify right side
    3,347.66x = 14,785,030.20
  5. Step 5: Solve for x
    x = 14,785,030.20/3,347.66
  6. Step 6: Final answer
    x = 4,416.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.