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Finding the Fourth Proportional to 5,765.70, 7,957.27 and 3,529.07

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Solution

The fourth proportional to 5,765.70, 7,957.27 and 3,529.07 is: 4,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.70 : 7,957.27 = 3,529.07 : x
  2. Step 2: Convert to fraction form
    5,765.70/7,957.27 = 3,529.07/x
  3. Step 3: Cross multiply
    5,765.70x = 7,957.27 × 3,529.07
  4. Step 4: Simplify right side
    5,765.70x = 28,081,762.84
  5. Step 5: Solve for x
    x = 28,081,762.84/5,765.70
  6. Step 6: Final answer
    x = 4,870.49

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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.