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Finding the Fourth Proportional to 3,212.70, 4,810.95 and 2,564.70

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Solution

The fourth proportional to 3,212.70, 4,810.95 and 2,564.70 is: 3,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.70 : 4,810.95 = 2,564.70 : x
  2. Step 2: Convert to fraction form
    3,212.70/4,810.95 = 2,564.70/x
  3. Step 3: Cross multiply
    3,212.70x = 4,810.95 × 2,564.70
  4. Step 4: Simplify right side
    3,212.70x = 12,338,643.47
  5. Step 5: Solve for x
    x = 12,338,643.47/3,212.70
  6. Step 6: Final answer
    x = 3,840.58

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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.