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Finding the Fourth Proportional to 5,728.07, 7,898.01 and 4,592.85

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Solution

The fourth proportional to 5,728.07, 7,898.01 and 4,592.85 is: 6,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.07 : 7,898.01 = 4,592.85 : x
  2. Step 2: Convert to fraction form
    5,728.07/7,898.01 = 4,592.85/x
  3. Step 3: Cross multiply
    5,728.07x = 7,898.01 × 4,592.85
  4. Step 4: Simplify right side
    5,728.07x = 36,274,372.81
  5. Step 5: Solve for x
    x = 36,274,372.81/5,728.07
  6. Step 6: Final answer
    x = 6,332.74

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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.