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Finding the Fourth Proportional to 3,674.61, 5,507.58 and 2,356.65

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Solution

The fourth proportional to 3,674.61, 5,507.58 and 2,356.65 is: 3,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.61 : 5,507.58 = 2,356.65 : x
  2. Step 2: Convert to fraction form
    3,674.61/5,507.58 = 2,356.65/x
  3. Step 3: Cross multiply
    3,674.61x = 5,507.58 × 2,356.65
  4. Step 4: Simplify right side
    3,674.61x = 12,979,438.41
  5. Step 5: Solve for x
    x = 12,979,438.41/3,674.61
  6. Step 6: Final answer
    x = 3,532.19

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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.