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Finding the Fourth Proportional to 5,683.80, 8,525.70 and 5,208.60

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Solution

The fourth proportional to 5,683.80, 8,525.70 and 5,208.60 is: 7,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.80 : 8,525.70 = 5,208.60 : x
  2. Step 2: Convert to fraction form
    5,683.80/8,525.70 = 5,208.60/x
  3. Step 3: Cross multiply
    5,683.80x = 8,525.70 × 5,208.60
  4. Step 4: Simplify right side
    5,683.80x = 44,406,961.02
  5. Step 5: Solve for x
    x = 44,406,961.02/5,683.80
  6. Step 6: Final answer
    x = 7,812.90

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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.