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Finding the Fourth Proportional to 5,765.19, 8,647.98 and 1,869.63

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Solution

The fourth proportional to 5,765.19, 8,647.98 and 1,869.63 is: 2,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.19 : 8,647.98 = 1,869.63 : x
  2. Step 2: Convert to fraction form
    5,765.19/8,647.98 = 1,869.63/x
  3. Step 3: Cross multiply
    5,765.19x = 8,647.98 × 1,869.63
  4. Step 4: Simplify right side
    5,765.19x = 16,168,522.85
  5. Step 5: Solve for x
    x = 16,168,522.85/5,765.19
  6. Step 6: Final answer
    x = 2,804.51

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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.