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Finding the Fourth Proportional to 5,786.58, 7,986.18 and 3,548.76

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Solution

The fourth proportional to 5,786.58, 7,986.18 and 3,548.76 is: 4,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.58 : 7,986.18 = 3,548.76 : x
  2. Step 2: Convert to fraction form
    5,786.58/7,986.18 = 3,548.76/x
  3. Step 3: Cross multiply
    5,786.58x = 7,986.18 × 3,548.76
  4. Step 4: Simplify right side
    5,786.58x = 28,341,036.14
  5. Step 5: Solve for x
    x = 28,341,036.14/5,786.58
  6. Step 6: Final answer
    x = 4,897.72

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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.