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Finding the Fourth Proportional to 5,852.79, 8,076.77 and 3,335.05

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Solution

The fourth proportional to 5,852.79, 8,076.77 and 3,335.05 is: 4,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.79 : 8,076.77 = 3,335.05 : x
  2. Step 2: Convert to fraction form
    5,852.79/8,076.77 = 3,335.05/x
  3. Step 3: Cross multiply
    5,852.79x = 8,076.77 × 3,335.05
  4. Step 4: Simplify right side
    5,852.79x = 26,936,424.38
  5. Step 5: Solve for x
    x = 26,936,424.38/5,852.79
  6. Step 6: Final answer
    x = 4,602.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.