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Finding the Fourth Proportional to 3,232.70, 4,849.05 and 3,070.70

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Solution

The fourth proportional to 3,232.70, 4,849.05 and 3,070.70 is: 4,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.70 : 4,849.05 = 3,070.70 : x
  2. Step 2: Convert to fraction form
    3,232.70/4,849.05 = 3,070.70/x
  3. Step 3: Cross multiply
    3,232.70x = 4,849.05 × 3,070.70
  4. Step 4: Simplify right side
    3,232.70x = 14,889,977.84
  5. Step 5: Solve for x
    x = 14,889,977.84/3,232.70
  6. Step 6: Final answer
    x = 4,606.05

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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.