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Finding the Fourth Proportional to 4,756.50, 6,591.96 and 4,683.60

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Solution

The fourth proportional to 4,756.50, 6,591.96 and 4,683.60 is: 6,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.50 : 6,591.96 = 4,683.60 : x
  2. Step 2: Convert to fraction form
    4,756.50/6,591.96 = 4,683.60/x
  3. Step 3: Cross multiply
    4,756.50x = 6,591.96 × 4,683.60
  4. Step 4: Simplify right side
    4,756.50x = 30,874,103.86
  5. Step 5: Solve for x
    x = 30,874,103.86/4,756.50
  6. Step 6: Final answer
    x = 6,490.93

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.