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Finding the Fourth Proportional to 4,775.96, 6,589.66 and 3,658.16

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Solution

The fourth proportional to 4,775.96, 6,589.66 and 3,658.16 is: 5,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.96 : 6,589.66 = 3,658.16 : x
  2. Step 2: Convert to fraction form
    4,775.96/6,589.66 = 3,658.16/x
  3. Step 3: Cross multiply
    4,775.96x = 6,589.66 × 3,658.16
  4. Step 4: Simplify right side
    4,775.96x = 24,106,030.63
  5. Step 5: Solve for x
    x = 24,106,030.63/4,775.96
  6. Step 6: Final answer
    x = 5,047.37

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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.