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Finding the Fourth Proportional to 5,690.04, 7,853.74 and 3,706.04

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Solution

The fourth proportional to 5,690.04, 7,853.74 and 3,706.04 is: 5,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.04 : 7,853.74 = 3,706.04 : x
  2. Step 2: Convert to fraction form
    5,690.04/7,853.74 = 3,706.04/x
  3. Step 3: Cross multiply
    5,690.04x = 7,853.74 × 3,706.04
  4. Step 4: Simplify right side
    5,690.04x = 29,106,274.59
  5. Step 5: Solve for x
    x = 29,106,274.59/5,690.04
  6. Step 6: Final answer
    x = 5,115.30

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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.