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Finding the Fourth Proportional to 4,349.60, 6,018 and 3,684.32

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Solution

The fourth proportional to 4,349.60, 6,018 and 3,684.32 is: 5,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.60 : 6,018 = 3,684.32 : x
  2. Step 2: Convert to fraction form
    4,349.60/6,018 = 3,684.32/x
  3. Step 3: Cross multiply
    4,349.60x = 6,018 × 3,684.32
  4. Step 4: Simplify right side
    4,349.60x = 22,172,237.76
  5. Step 5: Solve for x
    x = 22,172,237.76/4,349.60
  6. Step 6: Final answer
    x = 5,097.53

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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.