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Finding the Fourth Proportional to 4,812.50, 6,641.25 and 2,604.50

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Solution

The fourth proportional to 4,812.50, 6,641.25 and 2,604.50 is: 3,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.50 : 6,641.25 = 2,604.50 : x
  2. Step 2: Convert to fraction form
    4,812.50/6,641.25 = 2,604.50/x
  3. Step 3: Cross multiply
    4,812.50x = 6,641.25 × 2,604.50
  4. Step 4: Simplify right side
    4,812.50x = 17,297,135.63
  5. Step 5: Solve for x
    x = 17,297,135.63/4,812.50
  6. Step 6: Final answer
    x = 3,594.21

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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.