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Finding the Fourth Proportional to 3,765.59, 5,645.04 and 1,423.95

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Solution

The fourth proportional to 3,765.59, 5,645.04 and 1,423.95 is: 2,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.59 : 5,645.04 = 1,423.95 : x
  2. Step 2: Convert to fraction form
    3,765.59/5,645.04 = 1,423.95/x
  3. Step 3: Cross multiply
    3,765.59x = 5,645.04 × 1,423.95
  4. Step 4: Simplify right side
    3,765.59x = 8,038,283.84
  5. Step 5: Solve for x
    x = 8,038,283.84/3,765.59
  6. Step 6: Final answer
    x = 2,134.67

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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.