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Finding the Fourth Proportional to 5,422.89, 7,485.35 and 3,184.71

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Solution

The fourth proportional to 5,422.89, 7,485.35 and 3,184.71 is: 4,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.89 : 7,485.35 = 3,184.71 : x
  2. Step 2: Convert to fraction form
    5,422.89/7,485.35 = 3,184.71/x
  3. Step 3: Cross multiply
    5,422.89x = 7,485.35 × 3,184.71
  4. Step 4: Simplify right side
    5,422.89x = 23,838,653.07
  5. Step 5: Solve for x
    x = 23,838,653.07/5,422.89
  6. Step 6: Final answer
    x = 4,395.93

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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.