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Finding the Fourth Proportional to 4,326.54, 6,492.42 and 1,729.26

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Solution

The fourth proportional to 4,326.54, 6,492.42 and 1,729.26 is: 2,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.54 : 6,492.42 = 1,729.26 : x
  2. Step 2: Convert to fraction form
    4,326.54/6,492.42 = 1,729.26/x
  3. Step 3: Cross multiply
    4,326.54x = 6,492.42 × 1,729.26
  4. Step 4: Simplify right side
    4,326.54x = 11,227,082.21
  5. Step 5: Solve for x
    x = 11,227,082.21/4,326.54
  6. Step 6: Final answer
    x = 2,594.93

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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.