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Finding the Fourth Proportional to 4,335.15, 6,502.73 and 4,165.05

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Solution

The fourth proportional to 4,335.15, 6,502.73 and 4,165.05 is: 6,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.15 : 6,502.73 = 4,165.05 : x
  2. Step 2: Convert to fraction form
    4,335.15/6,502.73 = 4,165.05/x
  3. Step 3: Cross multiply
    4,335.15x = 6,502.73 × 4,165.05
  4. Step 4: Simplify right side
    4,335.15x = 27,084,174.76
  5. Step 5: Solve for x
    x = 27,084,174.76/4,335.15
  6. Step 6: Final answer
    x = 6,247.58

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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.