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Finding the Fourth Proportional to 3,703.65, 5,549.22 and 2,606.06

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Solution

The fourth proportional to 3,703.65, 5,549.22 and 2,606.06 is: 3,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.65 : 5,549.22 = 2,606.06 : x
  2. Step 2: Convert to fraction form
    3,703.65/5,549.22 = 2,606.06/x
  3. Step 3: Cross multiply
    3,703.65x = 5,549.22 × 2,606.06
  4. Step 4: Simplify right side
    3,703.65x = 14,461,600.27
  5. Step 5: Solve for x
    x = 14,461,600.27/3,703.65
  6. Step 6: Final answer
    x = 3,904.69

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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.