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Finding the Fourth Proportional to 6,584.09, 9,878.76 and 2,888.46

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Solution

The fourth proportional to 6,584.09, 9,878.76 and 2,888.46 is: 4,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.09 : 9,878.76 = 2,888.46 : x
  2. Step 2: Convert to fraction form
    6,584.09/9,878.76 = 2,888.46/x
  3. Step 3: Cross multiply
    6,584.09x = 9,878.76 × 2,888.46
  4. Step 4: Simplify right side
    6,584.09x = 28,534,403.11
  5. Step 5: Solve for x
    x = 28,534,403.11/6,584.09
  6. Step 6: Final answer
    x = 4,333.84

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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.