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Finding the Fourth Proportional to 5,699.10, 8,549.10 and 1,803.84

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Solution

The fourth proportional to 5,699.10, 8,549.10 and 1,803.84 is: 2,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.10 : 8,549.10 = 1,803.84 : x
  2. Step 2: Convert to fraction form
    5,699.10/8,549.10 = 1,803.84/x
  3. Step 3: Cross multiply
    5,699.10x = 8,549.10 × 1,803.84
  4. Step 4: Simplify right side
    5,699.10x = 15,421,208.54
  5. Step 5: Solve for x
    x = 15,421,208.54/5,699.10
  6. Step 6: Final answer
    x = 2,705.90

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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.