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Finding the Fourth Proportional to 5,764.29, 7,950.85 and 4,657.15

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Solution

The fourth proportional to 5,764.29, 7,950.85 and 4,657.15 is: 6,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.29 : 7,950.85 = 4,657.15 : x
  2. Step 2: Convert to fraction form
    5,764.29/7,950.85 = 4,657.15/x
  3. Step 3: Cross multiply
    5,764.29x = 7,950.85 × 4,657.15
  4. Step 4: Simplify right side
    5,764.29x = 37,028,301.08
  5. Step 5: Solve for x
    x = 37,028,301.08/5,764.29
  6. Step 6: Final answer
    x = 6,423.74

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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.