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Finding the Fourth Proportional to 5,731.48, 7,898.73 and 4,470.55

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Solution

The fourth proportional to 5,731.48, 7,898.73 and 4,470.55 is: 6,161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.48 : 7,898.73 = 4,470.55 : x
  2. Step 2: Convert to fraction form
    5,731.48/7,898.73 = 4,470.55/x
  3. Step 3: Cross multiply
    5,731.48x = 7,898.73 × 4,470.55
  4. Step 4: Simplify right side
    5,731.48x = 35,311,667.40
  5. Step 5: Solve for x
    x = 35,311,667.40/5,731.48
  6. Step 6: Final answer
    x = 6,161.00

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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.