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Finding the Fourth Proportional to 3,815.60, 5,715.30 and 2,503.40

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Solution

The fourth proportional to 3,815.60, 5,715.30 and 2,503.40 is: 3,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.60 : 5,715.30 = 2,503.40 : x
  2. Step 2: Convert to fraction form
    3,815.60/5,715.30 = 2,503.40/x
  3. Step 3: Cross multiply
    3,815.60x = 5,715.30 × 2,503.40
  4. Step 4: Simplify right side
    3,815.60x = 14,307,682.02
  5. Step 5: Solve for x
    x = 14,307,682.02/3,815.60
  6. Step 6: Final answer
    x = 3,749.79

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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.