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Finding the Fourth Proportional to 4,745.99, 6,547.46 and 2,729.05

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Solution

The fourth proportional to 4,745.99, 6,547.46 and 2,729.05 is: 3,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.99 : 6,547.46 = 2,729.05 : x
  2. Step 2: Convert to fraction form
    4,745.99/6,547.46 = 2,729.05/x
  3. Step 3: Cross multiply
    4,745.99x = 6,547.46 × 2,729.05
  4. Step 4: Simplify right side
    4,745.99x = 17,868,345.71
  5. Step 5: Solve for x
    x = 17,868,345.71/4,745.99
  6. Step 6: Final answer
    x = 3,764.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.