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Finding the Fourth Proportional to 3,204.35, 4,808.54 and 1,355.52

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Solution

The fourth proportional to 3,204.35, 4,808.54 and 1,355.52 is: 2,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.35 : 4,808.54 = 1,355.52 : x
  2. Step 2: Convert to fraction form
    3,204.35/4,808.54 = 1,355.52/x
  3. Step 3: Cross multiply
    3,204.35x = 4,808.54 × 1,355.52
  4. Step 4: Simplify right side
    3,204.35x = 6,518,075.53
  5. Step 5: Solve for x
    x = 6,518,075.53/3,204.35
  6. Step 6: Final answer
    x = 2,034.14

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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.