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Finding the Fourth Proportional to 5,742.95, 7,925.10 and 3,504.02

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Solution

The fourth proportional to 5,742.95, 7,925.10 and 3,504.02 is: 4,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.95 : 7,925.10 = 3,504.02 : x
  2. Step 2: Convert to fraction form
    5,742.95/7,925.10 = 3,504.02/x
  3. Step 3: Cross multiply
    5,742.95x = 7,925.10 × 3,504.02
  4. Step 4: Simplify right side
    5,742.95x = 27,769,708.90
  5. Step 5: Solve for x
    x = 27,769,708.90/5,742.95
  6. Step 6: Final answer
    x = 4,835.44

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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.