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Finding the Fourth Proportional to 5,700.27, 8,544.93 and 1,802.01

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Solution

The fourth proportional to 5,700.27, 8,544.93 and 1,802.01 is: 2,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.27 : 8,544.93 = 1,802.01 : x
  2. Step 2: Convert to fraction form
    5,700.27/8,544.93 = 1,802.01/x
  3. Step 3: Cross multiply
    5,700.27x = 8,544.93 × 1,802.01
  4. Step 4: Simplify right side
    5,700.27x = 15,398,049.31
  5. Step 5: Solve for x
    x = 15,398,049.31/5,700.27
  6. Step 6: Final answer
    x = 2,701.28

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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.