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Finding the Fourth Proportional to 4,151.77, 6,220.74 and 2,980.02

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Solution

The fourth proportional to 4,151.77, 6,220.74 and 2,980.02 is: 4,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.77 : 6,220.74 = 2,980.02 : x
  2. Step 2: Convert to fraction form
    4,151.77/6,220.74 = 2,980.02/x
  3. Step 3: Cross multiply
    4,151.77x = 6,220.74 × 2,980.02
  4. Step 4: Simplify right side
    4,151.77x = 18,537,899.16
  5. Step 5: Solve for x
    x = 18,537,899.16/4,151.77
  6. Step 6: Final answer
    x = 4,465.06

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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.