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Finding the Fourth Proportional to 4,294.26, 5,925.16 and 2,525.22

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Solution

The fourth proportional to 4,294.26, 5,925.16 and 2,525.22 is: 3,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.26 : 5,925.16 = 2,525.22 : x
  2. Step 2: Convert to fraction form
    4,294.26/5,925.16 = 2,525.22/x
  3. Step 3: Cross multiply
    4,294.26x = 5,925.16 × 2,525.22
  4. Step 4: Simplify right side
    4,294.26x = 14,962,332.54
  5. Step 5: Solve for x
    x = 14,962,332.54/4,294.26
  6. Step 6: Final answer
    x = 3,484.26

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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.