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Finding the Fourth Proportional to 4,755.42, 7,130.16 and 1,832.40

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Solution

The fourth proportional to 4,755.42, 7,130.16 and 1,832.40 is: 2,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.42 : 7,130.16 = 1,832.40 : x
  2. Step 2: Convert to fraction form
    4,755.42/7,130.16 = 1,832.40/x
  3. Step 3: Cross multiply
    4,755.42x = 7,130.16 × 1,832.40
  4. Step 4: Simplify right side
    4,755.42x = 13,065,305.18
  5. Step 5: Solve for x
    x = 13,065,305.18/4,755.42
  6. Step 6: Final answer
    x = 2,747.46

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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.