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Finding the Fourth Proportional to 3,763.84, 5,643.48 and 1,683.45

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Solution

The fourth proportional to 3,763.84, 5,643.48 and 1,683.45 is: 2,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.84 : 5,643.48 = 1,683.45 : x
  2. Step 2: Convert to fraction form
    3,763.84/5,643.48 = 1,683.45/x
  3. Step 3: Cross multiply
    3,763.84x = 5,643.48 × 1,683.45
  4. Step 4: Simplify right side
    3,763.84x = 9,500,531.26
  5. Step 5: Solve for x
    x = 9,500,531.26/3,763.84
  6. Step 6: Final answer
    x = 2,524.16

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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.