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Finding the Fourth Proportional to 3,698.56, 5,526.20 and 3,569.40

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Solution

The fourth proportional to 3,698.56, 5,526.20 and 3,569.40 is: 5,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.56 : 5,526.20 = 3,569.40 : x
  2. Step 2: Convert to fraction form
    3,698.56/5,526.20 = 3,569.40/x
  3. Step 3: Cross multiply
    3,698.56x = 5,526.20 × 3,569.40
  4. Step 4: Simplify right side
    3,698.56x = 19,725,218.28
  5. Step 5: Solve for x
    x = 19,725,218.28/3,698.56
  6. Step 6: Final answer
    x = 5,333.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.