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Finding the Fourth Proportional to 3,475.09, 5,212.09 and 1,283.32

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Solution

The fourth proportional to 3,475.09, 5,212.09 and 1,283.32 is: 1,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.09 : 5,212.09 = 1,283.32 : x
  2. Step 2: Convert to fraction form
    3,475.09/5,212.09 = 1,283.32/x
  3. Step 3: Cross multiply
    3,475.09x = 5,212.09 × 1,283.32
  4. Step 4: Simplify right side
    3,475.09x = 6,688,779.34
  5. Step 5: Solve for x
    x = 6,688,779.34/3,475.09
  6. Step 6: Final answer
    x = 1,924.78

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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.