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Finding the Fourth Proportional to 3,602.24, 5,402.74 and 1,004.57

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Solution

The fourth proportional to 3,602.24, 5,402.74 and 1,004.57 is: 1,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.24 : 5,402.74 = 1,004.57 : x
  2. Step 2: Convert to fraction form
    3,602.24/5,402.74 = 1,004.57/x
  3. Step 3: Cross multiply
    3,602.24x = 5,402.74 × 1,004.57
  4. Step 4: Simplify right side
    3,602.24x = 5,427,403.51
  5. Step 5: Solve for x
    x = 5,427,403.51/3,602.24
  6. Step 6: Final answer
    x = 1,506.68

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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.