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Finding the Fourth Proportional to 3,536.64, 5,307.30 and 3,509.28

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Solution

The fourth proportional to 3,536.64, 5,307.30 and 3,509.28 is: 5,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.64 : 5,307.30 = 3,509.28 : x
  2. Step 2: Convert to fraction form
    3,536.64/5,307.30 = 3,509.28/x
  3. Step 3: Cross multiply
    3,536.64x = 5,307.30 × 3,509.28
  4. Step 4: Simplify right side
    3,536.64x = 18,624,801.74
  5. Step 5: Solve for x
    x = 18,624,801.74/3,536.64
  6. Step 6: Final answer
    x = 5,266.24

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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.