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Finding the Fourth Proportional to 3,584.16, 5,372.36 and 1,505.30

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Solution

The fourth proportional to 3,584.16, 5,372.36 and 1,505.30 is: 2,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.16 : 5,372.36 = 1,505.30 : x
  2. Step 2: Convert to fraction form
    3,584.16/5,372.36 = 1,505.30/x
  3. Step 3: Cross multiply
    3,584.16x = 5,372.36 × 1,505.30
  4. Step 4: Simplify right side
    3,584.16x = 8,087,013.51
  5. Step 5: Solve for x
    x = 8,087,013.51/3,584.16
  6. Step 6: Final answer
    x = 2,256.32

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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.