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Finding the Fourth Proportional to 4,658.83, 6,429.30 and 2,534.48

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Solution

The fourth proportional to 4,658.83, 6,429.30 and 2,534.48 is: 3,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.83 : 6,429.30 = 2,534.48 : x
  2. Step 2: Convert to fraction form
    4,658.83/6,429.30 = 2,534.48/x
  3. Step 3: Cross multiply
    4,658.83x = 6,429.30 × 2,534.48
  4. Step 4: Simplify right side
    4,658.83x = 16,294,932.26
  5. Step 5: Solve for x
    x = 16,294,932.26/4,658.83
  6. Step 6: Final answer
    x = 3,497.64

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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.