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Finding the Fourth Proportional to 4,164.04, 5,746.44 and 2,301.04

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Solution

The fourth proportional to 4,164.04, 5,746.44 and 2,301.04 is: 3,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.04 : 5,746.44 = 2,301.04 : x
  2. Step 2: Convert to fraction form
    4,164.04/5,746.44 = 2,301.04/x
  3. Step 3: Cross multiply
    4,164.04x = 5,746.44 × 2,301.04
  4. Step 4: Simplify right side
    4,164.04x = 13,222,788.30
  5. Step 5: Solve for x
    x = 13,222,788.30/4,164.04
  6. Step 6: Final answer
    x = 3,175.47

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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.