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Finding the Fourth Proportional to 5,762.94, 7,951.59 and 3,403.86

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Solution

The fourth proportional to 5,762.94, 7,951.59 and 3,403.86 is: 4,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.94 : 7,951.59 = 3,403.86 : x
  2. Step 2: Convert to fraction form
    5,762.94/7,951.59 = 3,403.86/x
  3. Step 3: Cross multiply
    5,762.94x = 7,951.59 × 3,403.86
  4. Step 4: Simplify right side
    5,762.94x = 27,066,099.14
  5. Step 5: Solve for x
    x = 27,066,099.14/5,762.94
  6. Step 6: Final answer
    x = 4,696.58

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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.