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Finding the Fourth Proportional to 4,535.51, 6,798 and 2,589.08

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Solution

The fourth proportional to 4,535.51, 6,798 and 2,589.08 is: 3,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.51 : 6,798 = 2,589.08 : x
  2. Step 2: Convert to fraction form
    4,535.51/6,798 = 2,589.08/x
  3. Step 3: Cross multiply
    4,535.51x = 6,798 × 2,589.08
  4. Step 4: Simplify right side
    4,535.51x = 17,600,565.84
  5. Step 5: Solve for x
    x = 17,600,565.84/4,535.51
  6. Step 6: Final answer
    x = 3,880.61

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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.