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Finding the Fourth Proportional to 3,699.10, 5,509.40 and 3,681.22

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Solution

The fourth proportional to 3,699.10, 5,509.40 and 3,681.22 is: 5,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.10 : 5,509.40 = 3,681.22 : x
  2. Step 2: Convert to fraction form
    3,699.10/5,509.40 = 3,681.22/x
  3. Step 3: Cross multiply
    3,699.10x = 5,509.40 × 3,681.22
  4. Step 4: Simplify right side
    3,699.10x = 20,281,285.92
  5. Step 5: Solve for x
    x = 20,281,285.92/3,699.10
  6. Step 6: Final answer
    x = 5,482.76

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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.