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Finding the Fourth Proportional to 4,755.84, 7,130.24 and 2,288.32

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Solution

The fourth proportional to 4,755.84, 7,130.24 and 2,288.32 is: 3,430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.84 : 7,130.24 = 2,288.32 : x
  2. Step 2: Convert to fraction form
    4,755.84/7,130.24 = 2,288.32/x
  3. Step 3: Cross multiply
    4,755.84x = 7,130.24 × 2,288.32
  4. Step 4: Simplify right side
    4,755.84x = 16,316,270.80
  5. Step 5: Solve for x
    x = 16,316,270.80/4,755.84
  6. Step 6: Final answer
    x = 3,430.79

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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.