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Finding the Fourth Proportional to 5,763.96, 8,647.16 and 1,868.06

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Solution

The fourth proportional to 5,763.96, 8,647.16 and 1,868.06 is: 2,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.96 : 8,647.16 = 1,868.06 : x
  2. Step 2: Convert to fraction form
    5,763.96/8,647.16 = 1,868.06/x
  3. Step 3: Cross multiply
    5,763.96x = 8,647.16 × 1,868.06
  4. Step 4: Simplify right side
    5,763.96x = 16,153,425.99
  5. Step 5: Solve for x
    x = 16,153,425.99/5,763.96
  6. Step 6: Final answer
    x = 2,802.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.