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Finding the Fourth Proportional to 4,242.92, 6,360.66 and 2,053.22

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Solution

The fourth proportional to 4,242.92, 6,360.66 and 2,053.22 is: 3,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.92 : 6,360.66 = 2,053.22 : x
  2. Step 2: Convert to fraction form
    4,242.92/6,360.66 = 2,053.22/x
  3. Step 3: Cross multiply
    4,242.92x = 6,360.66 × 2,053.22
  4. Step 4: Simplify right side
    4,242.92x = 13,059,802.52
  5. Step 5: Solve for x
    x = 13,059,802.52/4,242.92
  6. Step 6: Final answer
    x = 3,078.03

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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.