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Finding the Fourth Proportional to 3,534.12, 4,875.12 and 3,283.83

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Solution

The fourth proportional to 3,534.12, 4,875.12 and 3,283.83 is: 4,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.12 : 4,875.12 = 3,283.83 : x
  2. Step 2: Convert to fraction form
    3,534.12/4,875.12 = 3,283.83/x
  3. Step 3: Cross multiply
    3,534.12x = 4,875.12 × 3,283.83
  4. Step 4: Simplify right side
    3,534.12x = 16,009,065.31
  5. Step 5: Solve for x
    x = 16,009,065.31/3,534.12
  6. Step 6: Final answer
    x = 4,529.86

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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.