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Finding the Fourth Proportional to 5,765.66, 7,954.40 and 3,525.74

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Solution

The fourth proportional to 5,765.66, 7,954.40 and 3,525.74 is: 4,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.66 : 7,954.40 = 3,525.74 : x
  2. Step 2: Convert to fraction form
    5,765.66/7,954.40 = 3,525.74/x
  3. Step 3: Cross multiply
    5,765.66x = 7,954.40 × 3,525.74
  4. Step 4: Simplify right side
    5,765.66x = 28,045,146.26
  5. Step 5: Solve for x
    x = 28,045,146.26/5,765.66
  6. Step 6: Final answer
    x = 4,864.17

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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.