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Finding the Fourth Proportional to 3,416.49, 5,123.13 and 2,030.01

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Solution

The fourth proportional to 3,416.49, 5,123.13 and 2,030.01 is: 3,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.49 : 5,123.13 = 2,030.01 : x
  2. Step 2: Convert to fraction form
    3,416.49/5,123.13 = 2,030.01/x
  3. Step 3: Cross multiply
    3,416.49x = 5,123.13 × 2,030.01
  4. Step 4: Simplify right side
    3,416.49x = 10,400,005.13
  5. Step 5: Solve for x
    x = 10,400,005.13/3,416.49
  6. Step 6: Final answer
    x = 3,044.06

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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.