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Finding the Fourth Proportional to 3,698.56, 5,526.16 and 3,569.37

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Solution

The fourth proportional to 3,698.56, 5,526.16 and 3,569.37 is: 5,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.56 : 5,526.16 = 3,569.37 : x
  2. Step 2: Convert to fraction form
    3,698.56/5,526.16 = 3,569.37/x
  3. Step 3: Cross multiply
    3,698.56x = 5,526.16 × 3,569.37
  4. Step 4: Simplify right side
    3,698.56x = 19,724,909.72
  5. Step 5: Solve for x
    x = 19,724,909.72/3,698.56
  6. Step 6: Final answer
    x = 5,333.13

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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.