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Finding the Fourth Proportional to 5,742.75, 7,925.70 and 3,504.57

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Solution

The fourth proportional to 5,742.75, 7,925.70 and 3,504.57 is: 4,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.75 : 7,925.70 = 3,504.57 : x
  2. Step 2: Convert to fraction form
    5,742.75/7,925.70 = 3,504.57/x
  3. Step 3: Cross multiply
    5,742.75x = 7,925.70 × 3,504.57
  4. Step 4: Simplify right side
    5,742.75x = 27,776,170.45
  5. Step 5: Solve for x
    x = 27,776,170.45/5,742.75
  6. Step 6: Final answer
    x = 4,836.74

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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.