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Finding the Fourth Proportional to 4,343.60, 6,009.72 and 3,678.32

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Solution

The fourth proportional to 4,343.60, 6,009.72 and 3,678.32 is: 5,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.60 : 6,009.72 = 3,678.32 : x
  2. Step 2: Convert to fraction form
    4,343.60/6,009.72 = 3,678.32/x
  3. Step 3: Cross multiply
    4,343.60x = 6,009.72 × 3,678.32
  4. Step 4: Simplify right side
    4,343.60x = 22,105,673.27
  5. Step 5: Solve for x
    x = 22,105,673.27/4,343.60
  6. Step 6: Final answer
    x = 5,089.25

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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.