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Finding the Fourth Proportional to 4,680, 6,458.40 and 3,024

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Solution

The fourth proportional to 4,680, 6,458.40 and 3,024 is: 4,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680 : 6,458.40 = 3,024 : x
  2. Step 2: Convert to fraction form
    4,680/6,458.40 = 3,024/x
  3. Step 3: Cross multiply
    4,680x = 6,458.40 × 3,024
  4. Step 4: Simplify right side
    4,680x = 19,530,201.60
  5. Step 5: Solve for x
    x = 19,530,201.60/4,680
  6. Step 6: Final answer
    x = 4,173.12

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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.