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Finding the Fourth Proportional to 5,859.36, 8,076.84 and 4,365

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Solution

The fourth proportional to 5,859.36, 8,076.84 and 4,365 is: 6,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.36 : 8,076.84 = 4,365 : x
  2. Step 2: Convert to fraction form
    5,859.36/8,076.84 = 4,365/x
  3. Step 3: Cross multiply
    5,859.36x = 8,076.84 × 4,365
  4. Step 4: Simplify right side
    5,859.36x = 35,255,406.60
  5. Step 5: Solve for x
    x = 35,255,406.60/5,859.36
  6. Step 6: Final answer
    x = 6,016.94

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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.