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Finding the Fourth Proportional to 4,747.48, 7,123.28 and 1,976.16

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Solution

The fourth proportional to 4,747.48, 7,123.28 and 1,976.16 is: 2,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.48 : 7,123.28 = 1,976.16 : x
  2. Step 2: Convert to fraction form
    4,747.48/7,123.28 = 1,976.16/x
  3. Step 3: Cross multiply
    4,747.48x = 7,123.28 × 1,976.16
  4. Step 4: Simplify right side
    4,747.48x = 14,076,741.00
  5. Step 5: Solve for x
    x = 14,076,741.00/4,747.48
  6. Step 6: Final answer
    x = 2,965.10

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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.