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Finding the Fourth Proportional to 5,840.38, 8,002.15 and 5,762.47

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Solution

The fourth proportional to 5,840.38, 8,002.15 and 5,762.47 is: 7,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.38 : 8,002.15 = 5,762.47 : x
  2. Step 2: Convert to fraction form
    5,840.38/8,002.15 = 5,762.47/x
  3. Step 3: Cross multiply
    5,840.38x = 8,002.15 × 5,762.47
  4. Step 4: Simplify right side
    5,840.38x = 46,112,149.31
  5. Step 5: Solve for x
    x = 46,112,149.31/5,840.38
  6. Step 6: Final answer
    x = 7,895.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.