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Finding the Fourth Proportional to 4,156.21, 6,235.17 and 1,559.17

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Solution

The fourth proportional to 4,156.21, 6,235.17 and 1,559.17 is: 2,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.21 : 6,235.17 = 1,559.17 : x
  2. Step 2: Convert to fraction form
    4,156.21/6,235.17 = 1,559.17/x
  3. Step 3: Cross multiply
    4,156.21x = 6,235.17 × 1,559.17
  4. Step 4: Simplify right side
    4,156.21x = 9,721,690.01
  5. Step 5: Solve for x
    x = 9,721,690.01/4,156.21
  6. Step 6: Final answer
    x = 2,339.08

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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.