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Finding the Fourth Proportional to 3,606.13, 5,410.10 and 1,009.06

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Solution

The fourth proportional to 3,606.13, 5,410.10 and 1,009.06 is: 1,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.13 : 5,410.10 = 1,009.06 : x
  2. Step 2: Convert to fraction form
    3,606.13/5,410.10 = 1,009.06/x
  3. Step 3: Cross multiply
    3,606.13x = 5,410.10 × 1,009.06
  4. Step 4: Simplify right side
    3,606.13x = 5,459,115.51
  5. Step 5: Solve for x
    x = 5,459,115.51/3,606.13
  6. Step 6: Final answer
    x = 1,513.84

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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.