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Finding the Fourth Proportional to 4,748.31, 7,123.58 and 1,461.33

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Solution

The fourth proportional to 4,748.31, 7,123.58 and 1,461.33 is: 2,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.31 : 7,123.58 = 1,461.33 : x
  2. Step 2: Convert to fraction form
    4,748.31/7,123.58 = 1,461.33/x
  3. Step 3: Cross multiply
    4,748.31x = 7,123.58 × 1,461.33
  4. Step 4: Simplify right side
    4,748.31x = 10,409,893.85
  5. Step 5: Solve for x
    x = 10,409,893.85/4,748.31
  6. Step 6: Final answer
    x = 2,192.34

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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.