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Finding the Fourth Proportional to 4,638.63, 6,957.63 and 2,174.00

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Solution

The fourth proportional to 4,638.63, 6,957.63 and 2,174.00 is: 3,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.63 : 6,957.63 = 2,174.00 : x
  2. Step 2: Convert to fraction form
    4,638.63/6,957.63 = 2,174.00/x
  3. Step 3: Cross multiply
    4,638.63x = 6,957.63 × 2,174.00
  4. Step 4: Simplify right side
    4,638.63x = 15,125,852.83
  5. Step 5: Solve for x
    x = 15,125,852.83/4,638.63
  6. Step 6: Final answer
    x = 3,260.85

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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.