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Finding the Fourth Proportional to 5,678.34, 7,835.18 and 3,287.46

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Solution

The fourth proportional to 5,678.34, 7,835.18 and 3,287.46 is: 4,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.34 : 7,835.18 = 3,287.46 : x
  2. Step 2: Convert to fraction form
    5,678.34/7,835.18 = 3,287.46/x
  3. Step 3: Cross multiply
    5,678.34x = 7,835.18 × 3,287.46
  4. Step 4: Simplify right side
    5,678.34x = 25,757,840.84
  5. Step 5: Solve for x
    x = 25,757,840.84/5,678.34
  6. Step 6: Final answer
    x = 4,536.16

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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.