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Finding the Fourth Proportional to 4,648.86, 6,415.47 and 2,659.32

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Solution

The fourth proportional to 4,648.86, 6,415.47 and 2,659.32 is: 3,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.86 : 6,415.47 = 2,659.32 : x
  2. Step 2: Convert to fraction form
    4,648.86/6,415.47 = 2,659.32/x
  3. Step 3: Cross multiply
    4,648.86x = 6,415.47 × 2,659.32
  4. Step 4: Simplify right side
    4,648.86x = 17,060,787.68
  5. Step 5: Solve for x
    x = 17,060,787.68/4,648.86
  6. Step 6: Final answer
    x = 3,669.89

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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.