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Finding the Fourth Proportional to 5,683.60, 7,837.86 and 3,445.84

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Solution

The fourth proportional to 5,683.60, 7,837.86 and 3,445.84 is: 4,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.60 : 7,837.86 = 3,445.84 : x
  2. Step 2: Convert to fraction form
    5,683.60/7,837.86 = 3,445.84/x
  3. Step 3: Cross multiply
    5,683.60x = 7,837.86 × 3,445.84
  4. Step 4: Simplify right side
    5,683.60x = 27,008,011.50
  5. Step 5: Solve for x
    x = 27,008,011.50/5,683.60
  6. Step 6: Final answer
    x = 4,751.92

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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.