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Finding the Fourth Proportional to 6,426, 8,860.32 and 4,326.48

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Solution

The fourth proportional to 6,426, 8,860.32 and 4,326.48 is: 5,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426 : 8,860.32 = 4,326.48 : x
  2. Step 2: Convert to fraction form
    6,426/8,860.32 = 4,326.48/x
  3. Step 3: Cross multiply
    6,426x = 8,860.32 × 4,326.48
  4. Step 4: Simplify right side
    6,426x = 38,333,997.27
  5. Step 5: Solve for x
    x = 38,333,997.27/6,426
  6. Step 6: Final answer
    x = 5,965.45

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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.