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Finding the Fourth Proportional to 4,735.64, 7,103.46 and 2,545.40

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Solution

The fourth proportional to 4,735.64, 7,103.46 and 2,545.40 is: 3,818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.64 : 7,103.46 = 2,545.40 : x
  2. Step 2: Convert to fraction form
    4,735.64/7,103.46 = 2,545.40/x
  3. Step 3: Cross multiply
    4,735.64x = 7,103.46 × 2,545.40
  4. Step 4: Simplify right side
    4,735.64x = 18,081,147.08
  5. Step 5: Solve for x
    x = 18,081,147.08/4,735.64
  6. Step 6: Final answer
    x = 3,818.10

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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.