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Finding the Fourth Proportional to 3,705.65, 5,111.61 and 2,569.55

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Solution

The fourth proportional to 3,705.65, 5,111.61 and 2,569.55 is: 3,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.65 : 5,111.61 = 2,569.55 : x
  2. Step 2: Convert to fraction form
    3,705.65/5,111.61 = 2,569.55/x
  3. Step 3: Cross multiply
    3,705.65x = 5,111.61 × 2,569.55
  4. Step 4: Simplify right side
    3,705.65x = 13,134,537.48
  5. Step 5: Solve for x
    x = 13,134,537.48/3,705.65
  6. Step 6: Final answer
    x = 3,544.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.