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Finding the Fourth Proportional to 6,034.51, 8,325.48 and 4,775.77

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Solution

The fourth proportional to 6,034.51, 8,325.48 and 4,775.77 is: 6,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.51 : 8,325.48 = 4,775.77 : x
  2. Step 2: Convert to fraction form
    6,034.51/8,325.48 = 4,775.77/x
  3. Step 3: Cross multiply
    6,034.51x = 8,325.48 × 4,775.77
  4. Step 4: Simplify right side
    6,034.51x = 39,760,577.62
  5. Step 5: Solve for x
    x = 39,760,577.62/6,034.51
  6. Step 6: Final answer
    x = 6,588.87

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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.