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Finding the Fourth Proportional to 4,969.06, 7,454.60 and 1,459.18

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Solution

The fourth proportional to 4,969.06, 7,454.60 and 1,459.18 is: 2,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.06 : 7,454.60 = 1,459.18 : x
  2. Step 2: Convert to fraction form
    4,969.06/7,454.60 = 1,459.18/x
  3. Step 3: Cross multiply
    4,969.06x = 7,454.60 × 1,459.18
  4. Step 4: Simplify right side
    4,969.06x = 10,877,603.23
  5. Step 5: Solve for x
    x = 10,877,603.23/4,969.06
  6. Step 6: Final answer
    x = 2,189.07

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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.