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Finding the Fourth Proportional to 6,503.70, 8,974.51 and 3,670.32

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Solution

The fourth proportional to 6,503.70, 8,974.51 and 3,670.32 is: 5,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.70 : 8,974.51 = 3,670.32 : x
  2. Step 2: Convert to fraction form
    6,503.70/8,974.51 = 3,670.32/x
  3. Step 3: Cross multiply
    6,503.70x = 8,974.51 × 3,670.32
  4. Step 4: Simplify right side
    6,503.70x = 32,939,323.54
  5. Step 5: Solve for x
    x = 32,939,323.54/6,503.70
  6. Step 6: Final answer
    x = 5,064.71

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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.