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Finding the Fourth Proportional to 3,166.52, 4,720.91 and 3,085.64

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Solution

The fourth proportional to 3,166.52, 4,720.91 and 3,085.64 is: 4,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.52 : 4,720.91 = 3,085.64 : x
  2. Step 2: Convert to fraction form
    3,166.52/4,720.91 = 3,085.64/x
  3. Step 3: Cross multiply
    3,166.52x = 4,720.91 × 3,085.64
  4. Step 4: Simplify right side
    3,166.52x = 14,567,024.76
  5. Step 5: Solve for x
    x = 14,567,024.76/3,166.52
  6. Step 6: Final answer
    x = 4,600.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.