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Finding the Fourth Proportional to 4,658.07, 6,428.09 and 2,533.61

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Solution

The fourth proportional to 4,658.07, 6,428.09 and 2,533.61 is: 3,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.07 : 6,428.09 = 2,533.61 : x
  2. Step 2: Convert to fraction form
    4,658.07/6,428.09 = 2,533.61/x
  3. Step 3: Cross multiply
    4,658.07x = 6,428.09 × 2,533.61
  4. Step 4: Simplify right side
    4,658.07x = 16,286,295.51
  5. Step 5: Solve for x
    x = 16,286,295.51/4,658.07
  6. Step 6: Final answer
    x = 3,496.36

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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.