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Finding the Fourth Proportional to 4,782.51, 6,584.90 and 4,345.11

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Solution

The fourth proportional to 4,782.51, 6,584.90 and 4,345.11 is: 5,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.51 : 6,584.90 = 4,345.11 : x
  2. Step 2: Convert to fraction form
    4,782.51/6,584.90 = 4,345.11/x
  3. Step 3: Cross multiply
    4,782.51x = 6,584.90 × 4,345.11
  4. Step 4: Simplify right side
    4,782.51x = 28,612,093.11
  5. Step 5: Solve for x
    x = 28,612,093.11/4,782.51
  6. Step 6: Final answer
    x = 5,982.65

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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.