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Finding the Fourth Proportional to 5,051.76, 6,964.63 and 3,537.29

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Solution

The fourth proportional to 5,051.76, 6,964.63 and 3,537.29 is: 4,876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.76 : 6,964.63 = 3,537.29 : x
  2. Step 2: Convert to fraction form
    5,051.76/6,964.63 = 3,537.29/x
  3. Step 3: Cross multiply
    5,051.76x = 6,964.63 × 3,537.29
  4. Step 4: Simplify right side
    5,051.76x = 24,635,881.23
  5. Step 5: Solve for x
    x = 24,635,881.23/5,051.76
  6. Step 6: Final answer
    x = 4,876.69

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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.