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Finding the Fourth Proportional to 3,641.51, 5,457.06 and 2,078.29

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Solution

The fourth proportional to 3,641.51, 5,457.06 and 2,078.29 is: 3,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.51 : 5,457.06 = 2,078.29 : x
  2. Step 2: Convert to fraction form
    3,641.51/5,457.06 = 2,078.29/x
  3. Step 3: Cross multiply
    3,641.51x = 5,457.06 × 2,078.29
  4. Step 4: Simplify right side
    3,641.51x = 11,341,353.23
  5. Step 5: Solve for x
    x = 11,341,353.23/3,641.51
  6. Step 6: Final answer
    x = 3,114.46

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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.