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Finding the Fourth Proportional to 3,483.16, 5,224.96 and 1,535.34

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Solution

The fourth proportional to 3,483.16, 5,224.96 and 1,535.34 is: 2,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.16 : 5,224.96 = 1,535.34 : x
  2. Step 2: Convert to fraction form
    3,483.16/5,224.96 = 1,535.34/x
  3. Step 3: Cross multiply
    3,483.16x = 5,224.96 × 1,535.34
  4. Step 4: Simplify right side
    3,483.16x = 8,022,090.09
  5. Step 5: Solve for x
    x = 8,022,090.09/3,483.16
  6. Step 6: Final answer
    x = 2,303.11

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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.