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Finding the Fourth Proportional to 4,534.93, 6,802.39 and 1,415.19

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Solution

The fourth proportional to 4,534.93, 6,802.39 and 1,415.19 is: 2,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.93 : 6,802.39 = 1,415.19 : x
  2. Step 2: Convert to fraction form
    4,534.93/6,802.39 = 1,415.19/x
  3. Step 3: Cross multiply
    4,534.93x = 6,802.39 × 1,415.19
  4. Step 4: Simplify right side
    4,534.93x = 9,626,674.30
  5. Step 5: Solve for x
    x = 9,626,674.30/4,534.93
  6. Step 6: Final answer
    x = 2,122.79

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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.