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Finding the Fourth Proportional to 5,838.80, 8,041.56 and 5,730.80

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Solution

The fourth proportional to 5,838.80, 8,041.56 and 5,730.80 is: 7,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.80 : 8,041.56 = 5,730.80 : x
  2. Step 2: Convert to fraction form
    5,838.80/8,041.56 = 5,730.80/x
  3. Step 3: Cross multiply
    5,838.80x = 8,041.56 × 5,730.80
  4. Step 4: Simplify right side
    5,838.80x = 46,084,572.05
  5. Step 5: Solve for x
    x = 46,084,572.05/5,838.80
  6. Step 6: Final answer
    x = 7,892.82

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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.