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Finding the Fourth Proportional to 4,335.70, 6,501.90 and 3,422.02

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Solution

The fourth proportional to 4,335.70, 6,501.90 and 3,422.02 is: 5,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.70 : 6,501.90 = 3,422.02 : x
  2. Step 2: Convert to fraction form
    4,335.70/6,501.90 = 3,422.02/x
  3. Step 3: Cross multiply
    4,335.70x = 6,501.90 × 3,422.02
  4. Step 4: Simplify right side
    4,335.70x = 22,249,631.84
  5. Step 5: Solve for x
    x = 22,249,631.84/4,335.70
  6. Step 6: Final answer
    x = 5,131.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.