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Finding the Fourth Proportional to 5,642.16, 7,785.36 and 3,546.96

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Solution

The fourth proportional to 5,642.16, 7,785.36 and 3,546.96 is: 4,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.16 : 7,785.36 = 3,546.96 : x
  2. Step 2: Convert to fraction form
    5,642.16/7,785.36 = 3,546.96/x
  3. Step 3: Cross multiply
    5,642.16x = 7,785.36 × 3,546.96
  4. Step 4: Simplify right side
    5,642.16x = 27,614,360.51
  5. Step 5: Solve for x
    x = 27,614,360.51/5,642.16
  6. Step 6: Final answer
    x = 4,894.29

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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.