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Finding the Fourth Proportional to 4,204.90, 6,305.19 and 2,355.51

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Solution

The fourth proportional to 4,204.90, 6,305.19 and 2,355.51 is: 3,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.90 : 6,305.19 = 2,355.51 : x
  2. Step 2: Convert to fraction form
    4,204.90/6,305.19 = 2,355.51/x
  3. Step 3: Cross multiply
    4,204.90x = 6,305.19 × 2,355.51
  4. Step 4: Simplify right side
    4,204.90x = 14,851,966.16
  5. Step 5: Solve for x
    x = 14,851,966.16/4,204.90
  6. Step 6: Final answer
    x = 3,532.07

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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.