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Finding the Fourth Proportional to 5,699.84, 7,863.62 and 3,460.86

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Solution

The fourth proportional to 5,699.84, 7,863.62 and 3,460.86 is: 4,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.84 : 7,863.62 = 3,460.86 : x
  2. Step 2: Convert to fraction form
    5,699.84/7,863.62 = 3,460.86/x
  3. Step 3: Cross multiply
    5,699.84x = 7,863.62 × 3,460.86
  4. Step 4: Simplify right side
    5,699.84x = 27,214,870.61
  5. Step 5: Solve for x
    x = 27,214,870.61/5,699.84
  6. Step 6: Final answer
    x = 4,774.68

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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.