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Finding the Fourth Proportional to 5,756.94, 7,952.31 and 5,085.77

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Solution

The fourth proportional to 5,756.94, 7,952.31 and 5,085.77 is: 7,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.94 : 7,952.31 = 5,085.77 : x
  2. Step 2: Convert to fraction form
    5,756.94/7,952.31 = 5,085.77/x
  3. Step 3: Cross multiply
    5,756.94x = 7,952.31 × 5,085.77
  4. Step 4: Simplify right side
    5,756.94x = 40,443,579.87
  5. Step 5: Solve for x
    x = 40,443,579.87/5,756.94
  6. Step 6: Final answer
    x = 7,025.19

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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.