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Finding the Fourth Proportional to 3,670.39, 5,506.80 and 1,478.53

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Solution

The fourth proportional to 3,670.39, 5,506.80 and 1,478.53 is: 2,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.39 : 5,506.80 = 1,478.53 : x
  2. Step 2: Convert to fraction form
    3,670.39/5,506.80 = 1,478.53/x
  3. Step 3: Cross multiply
    3,670.39x = 5,506.80 × 1,478.53
  4. Step 4: Simplify right side
    3,670.39x = 8,141,969.00
  5. Step 5: Solve for x
    x = 8,141,969.00/3,670.39
  6. Step 6: Final answer
    x = 2,218.28

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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.