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Finding the Fourth Proportional to 4,293.70, 5,925.23 and 2,405.26

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Solution

The fourth proportional to 4,293.70, 5,925.23 and 2,405.26 is: 3,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.70 : 5,925.23 = 2,405.26 : x
  2. Step 2: Convert to fraction form
    4,293.70/5,925.23 = 2,405.26/x
  3. Step 3: Cross multiply
    4,293.70x = 5,925.23 × 2,405.26
  4. Step 4: Simplify right side
    4,293.70x = 14,251,706.68
  5. Step 5: Solve for x
    x = 14,251,706.68/4,293.70
  6. Step 6: Final answer
    x = 3,319.22

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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.