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Finding the Fourth Proportional to 5,023.40, 7,532.46 and 1,735.71

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Solution

The fourth proportional to 5,023.40, 7,532.46 and 1,735.71 is: 2,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.40 : 7,532.46 = 1,735.71 : x
  2. Step 2: Convert to fraction form
    5,023.40/7,532.46 = 1,735.71/x
  3. Step 3: Cross multiply
    5,023.40x = 7,532.46 × 1,735.71
  4. Step 4: Simplify right side
    5,023.40x = 13,074,137.90
  5. Step 5: Solve for x
    x = 13,074,137.90/5,023.40
  6. Step 6: Final answer
    x = 2,602.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.