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Finding the Fourth Proportional to 5,071.51, 6,994.97 and 3,389.96

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Solution

The fourth proportional to 5,071.51, 6,994.97 and 3,389.96 is: 4,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.51 : 6,994.97 = 3,389.96 : x
  2. Step 2: Convert to fraction form
    5,071.51/6,994.97 = 3,389.96/x
  3. Step 3: Cross multiply
    5,071.51x = 6,994.97 × 3,389.96
  4. Step 4: Simplify right side
    5,071.51x = 23,712,633.53
  5. Step 5: Solve for x
    x = 23,712,633.53/5,071.51
  6. Step 6: Final answer
    x = 4,675.66

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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.