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Finding the Fourth Proportional to 4,784.34, 6,598.72 and 3,462.42

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Solution

The fourth proportional to 4,784.34, 6,598.72 and 3,462.42 is: 4,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.34 : 6,598.72 = 3,462.42 : x
  2. Step 2: Convert to fraction form
    4,784.34/6,598.72 = 3,462.42/x
  3. Step 3: Cross multiply
    4,784.34x = 6,598.72 × 3,462.42
  4. Step 4: Simplify right side
    4,784.34x = 22,847,540.10
  5. Step 5: Solve for x
    x = 22,847,540.10/4,784.34
  6. Step 6: Final answer
    x = 4,775.48

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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.