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Finding the Fourth Proportional to 4,759.40, 7,141.54 and 2,296.32

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Solution

The fourth proportional to 4,759.40, 7,141.54 and 2,296.32 is: 3,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.40 : 7,141.54 = 2,296.32 : x
  2. Step 2: Convert to fraction form
    4,759.40/7,141.54 = 2,296.32/x
  3. Step 3: Cross multiply
    4,759.40x = 7,141.54 × 2,296.32
  4. Step 4: Simplify right side
    4,759.40x = 16,399,261.13
  5. Step 5: Solve for x
    x = 16,399,261.13/4,759.40
  6. Step 6: Final answer
    x = 3,445.66

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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.