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Finding the Fourth Proportional to 3,089.98, 4,635.23 and 1,009.95

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Solution

The fourth proportional to 3,089.98, 4,635.23 and 1,009.95 is: 1,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.98 : 4,635.23 = 1,009.95 : x
  2. Step 2: Convert to fraction form
    3,089.98/4,635.23 = 1,009.95/x
  3. Step 3: Cross multiply
    3,089.98x = 4,635.23 × 1,009.95
  4. Step 4: Simplify right side
    3,089.98x = 4,681,350.54
  5. Step 5: Solve for x
    x = 4,681,350.54/3,089.98
  6. Step 6: Final answer
    x = 1,515.01

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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.