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Finding the Fourth Proportional to 6,503.40, 8,975.22 and 3,670.60

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Solution

The fourth proportional to 6,503.40, 8,975.22 and 3,670.60 is: 5,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.40 : 8,975.22 = 3,670.60 : x
  2. Step 2: Convert to fraction form
    6,503.40/8,975.22 = 3,670.60/x
  3. Step 3: Cross multiply
    6,503.40x = 8,975.22 × 3,670.60
  4. Step 4: Simplify right side
    6,503.40x = 32,944,442.53
  5. Step 5: Solve for x
    x = 32,944,442.53/6,503.40
  6. Step 6: Final answer
    x = 5,065.73

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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.