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Finding the Fourth Proportional to 4,782.48, 7,170.92 and 1,857.38

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Solution

The fourth proportional to 4,782.48, 7,170.92 and 1,857.38 is: 2,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.48 : 7,170.92 = 1,857.38 : x
  2. Step 2: Convert to fraction form
    4,782.48/7,170.92 = 1,857.38/x
  3. Step 3: Cross multiply
    4,782.48x = 7,170.92 × 1,857.38
  4. Step 4: Simplify right side
    4,782.48x = 13,319,123.39
  5. Step 5: Solve for x
    x = 13,319,123.39/4,782.48
  6. Step 6: Final answer
    x = 2,784.98

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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.