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Finding the Fourth Proportional to 4,148.01, 5,724.27 and 2,285.01

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Solution

The fourth proportional to 4,148.01, 5,724.27 and 2,285.01 is: 3,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.01 : 5,724.27 = 2,285.01 : x
  2. Step 2: Convert to fraction form
    4,148.01/5,724.27 = 2,285.01/x
  3. Step 3: Cross multiply
    4,148.01x = 5,724.27 × 2,285.01
  4. Step 4: Simplify right side
    4,148.01x = 13,080,014.19
  5. Step 5: Solve for x
    x = 13,080,014.19/4,148.01
  6. Step 6: Final answer
    x = 3,153.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.