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Finding the Fourth Proportional to 4,658.33, 6,980.70 and 2,160.28

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Solution

The fourth proportional to 4,658.33, 6,980.70 and 2,160.28 is: 3,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.33 : 6,980.70 = 2,160.28 : x
  2. Step 2: Convert to fraction form
    4,658.33/6,980.70 = 2,160.28/x
  3. Step 3: Cross multiply
    4,658.33x = 6,980.70 × 2,160.28
  4. Step 4: Simplify right side
    4,658.33x = 15,080,283.42
  5. Step 5: Solve for x
    x = 15,080,283.42/4,658.33
  6. Step 6: Final answer
    x = 3,237.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.