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Finding the Fourth Proportional to 4,952.06, 7,426.98 and 1,442.06

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Solution

The fourth proportional to 4,952.06, 7,426.98 and 1,442.06 is: 2,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.06 : 7,426.98 = 1,442.06 : x
  2. Step 2: Convert to fraction form
    4,952.06/7,426.98 = 1,442.06/x
  3. Step 3: Cross multiply
    4,952.06x = 7,426.98 × 1,442.06
  4. Step 4: Simplify right side
    4,952.06x = 10,710,150.78
  5. Step 5: Solve for x
    x = 10,710,150.78/4,952.06
  6. Step 6: Final answer
    x = 2,162.77

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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.