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Finding the Fourth Proportional to 3,670.02, 5,505.93 and 1,719.95

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Solution

The fourth proportional to 3,670.02, 5,505.93 and 1,719.95 is: 2,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.02 : 5,505.93 = 1,719.95 : x
  2. Step 2: Convert to fraction form
    3,670.02/5,505.93 = 1,719.95/x
  3. Step 3: Cross multiply
    3,670.02x = 5,505.93 × 1,719.95
  4. Step 4: Simplify right side
    3,670.02x = 9,469,924.30
  5. Step 5: Solve for x
    x = 9,469,924.30/3,670.02
  6. Step 6: Final answer
    x = 2,580.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.