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Finding the Fourth Proportional to 4,696.02, 6,474.92 and 3,017.50

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Solution

The fourth proportional to 4,696.02, 6,474.92 and 3,017.50 is: 4,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.02 : 6,474.92 = 3,017.50 : x
  2. Step 2: Convert to fraction form
    4,696.02/6,474.92 = 3,017.50/x
  3. Step 3: Cross multiply
    4,696.02x = 6,474.92 × 3,017.50
  4. Step 4: Simplify right side
    4,696.02x = 19,538,038.73
  5. Step 5: Solve for x
    x = 19,538,038.73/4,696.02
  6. Step 6: Final answer
    x = 4,160.55

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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.