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Finding the Fourth Proportional to 4,654.72, 6,973.84 and 2,458.60

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Solution

The fourth proportional to 4,654.72, 6,973.84 and 2,458.60 is: 3,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.72 : 6,973.84 = 2,458.60 : x
  2. Step 2: Convert to fraction form
    4,654.72/6,973.84 = 2,458.60/x
  3. Step 3: Cross multiply
    4,654.72x = 6,973.84 × 2,458.60
  4. Step 4: Simplify right side
    4,654.72x = 17,145,883.02
  5. Step 5: Solve for x
    x = 17,145,883.02/4,654.72
  6. Step 6: Final answer
    x = 3,683.55

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Why These Related Problems?

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