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Finding the Fourth Proportional to 5,686.58, 7,844.70 and 4,899.26

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Solution

The fourth proportional to 5,686.58, 7,844.70 and 4,899.26 is: 6,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.58 : 7,844.70 = 4,899.26 : x
  2. Step 2: Convert to fraction form
    5,686.58/7,844.70 = 4,899.26/x
  3. Step 3: Cross multiply
    5,686.58x = 7,844.70 × 4,899.26
  4. Step 4: Simplify right side
    5,686.58x = 38,433,224.92
  5. Step 5: Solve for x
    x = 38,433,224.92/5,686.58
  6. Step 6: Final answer
    x = 6,758.58

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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.