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Finding the Fourth Proportional to 3,071.76, 4,209.51 and 2,776.53

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Solution

The fourth proportional to 3,071.76, 4,209.51 and 2,776.53 is: 3,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.76 : 4,209.51 = 2,776.53 : x
  2. Step 2: Convert to fraction form
    3,071.76/4,209.51 = 2,776.53/x
  3. Step 3: Cross multiply
    3,071.76x = 4,209.51 × 2,776.53
  4. Step 4: Simplify right side
    3,071.76x = 11,687,830.80
  5. Step 5: Solve for x
    x = 11,687,830.80/3,071.76
  6. Step 6: Final answer
    x = 3,804.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.