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Finding the Fourth Proportional to 5,103.37, 7,655.94 and 2,330.32

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Solution

The fourth proportional to 5,103.37, 7,655.94 and 2,330.32 is: 3,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.37 : 7,655.94 = 2,330.32 : x
  2. Step 2: Convert to fraction form
    5,103.37/7,655.94 = 2,330.32/x
  3. Step 3: Cross multiply
    5,103.37x = 7,655.94 × 2,330.32
  4. Step 4: Simplify right side
    5,103.37x = 17,840,784.38
  5. Step 5: Solve for x
    x = 17,840,784.38/5,103.37
  6. Step 6: Final answer
    x = 3,495.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.