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Finding the Fourth Proportional to 4,200.59, 5,796.69 and 2,312.18

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Solution

The fourth proportional to 4,200.59, 5,796.69 and 2,312.18 is: 3,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.59 : 5,796.69 = 2,312.18 : x
  2. Step 2: Convert to fraction form
    4,200.59/5,796.69 = 2,312.18/x
  3. Step 3: Cross multiply
    4,200.59x = 5,796.69 × 2,312.18
  4. Step 4: Simplify right side
    4,200.59x = 13,402,961.70
  5. Step 5: Solve for x
    x = 13,402,961.70/4,200.59
  6. Step 6: Final answer
    x = 3,190.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.