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Finding the Fourth Proportional to 4,678.09, 7,017.77 and 1,716.12

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Solution

The fourth proportional to 4,678.09, 7,017.77 and 1,716.12 is: 2,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.09 : 7,017.77 = 1,716.12 : x
  2. Step 2: Convert to fraction form
    4,678.09/7,017.77 = 1,716.12/x
  3. Step 3: Cross multiply
    4,678.09x = 7,017.77 × 1,716.12
  4. Step 4: Simplify right side
    4,678.09x = 12,043,339.74
  5. Step 5: Solve for x
    x = 12,043,339.74/4,678.09
  6. Step 6: Final answer
    x = 2,574.42

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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.