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Finding the Fourth Proportional to 4,294.01, 6,442.29 and 1,796.40

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Solution

The fourth proportional to 4,294.01, 6,442.29 and 1,796.40 is: 2,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.01 : 6,442.29 = 1,796.40 : x
  2. Step 2: Convert to fraction form
    4,294.01/6,442.29 = 1,796.40/x
  3. Step 3: Cross multiply
    4,294.01x = 6,442.29 × 1,796.40
  4. Step 4: Simplify right side
    4,294.01x = 11,572,897.54
  5. Step 5: Solve for x
    x = 11,572,897.54/4,294.01
  6. Step 6: Final answer
    x = 2,695.13

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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.