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Finding the Fourth Proportional to 3,160.98, 4,735.71 and 3,091.86

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Solution

The fourth proportional to 3,160.98, 4,735.71 and 3,091.86 is: 4,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.98 : 4,735.71 = 3,091.86 : x
  2. Step 2: Convert to fraction form
    3,160.98/4,735.71 = 3,091.86/x
  3. Step 3: Cross multiply
    3,160.98x = 4,735.71 × 3,091.86
  4. Step 4: Simplify right side
    3,160.98x = 14,642,152.32
  5. Step 5: Solve for x
    x = 14,642,152.32/3,160.98
  6. Step 6: Final answer
    x = 4,632.16

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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.