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Finding the Fourth Proportional to 3,762.10, 5,638.65 and 1,569.70

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Solution

The fourth proportional to 3,762.10, 5,638.65 and 1,569.70 is: 2,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.10 : 5,638.65 = 1,569.70 : x
  2. Step 2: Convert to fraction form
    3,762.10/5,638.65 = 1,569.70/x
  3. Step 3: Cross multiply
    3,762.10x = 5,638.65 × 1,569.70
  4. Step 4: Simplify right side
    3,762.10x = 8,850,988.91
  5. Step 5: Solve for x
    x = 8,850,988.91/3,762.10
  6. Step 6: Final answer
    x = 2,352.67

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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.