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Finding the Fourth Proportional to 5,699.79, 8,549.73 and 1,804.50

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Solution

The fourth proportional to 5,699.79, 8,549.73 and 1,804.50 is: 2,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.79 : 8,549.73 = 1,804.50 : x
  2. Step 2: Convert to fraction form
    5,699.79/8,549.73 = 1,804.50/x
  3. Step 3: Cross multiply
    5,699.79x = 8,549.73 × 1,804.50
  4. Step 4: Simplify right side
    5,699.79x = 15,427,987.79
  5. Step 5: Solve for x
    x = 15,427,987.79/5,699.79
  6. Step 6: Final answer
    x = 2,706.76

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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.