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Finding the Fourth Proportional to 4,970.64, 7,450.92 and 3,123.06

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Solution

The fourth proportional to 4,970.64, 7,450.92 and 3,123.06 is: 4,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.64 : 7,450.92 = 3,123.06 : x
  2. Step 2: Convert to fraction form
    4,970.64/7,450.92 = 3,123.06/x
  3. Step 3: Cross multiply
    4,970.64x = 7,450.92 × 3,123.06
  4. Step 4: Simplify right side
    4,970.64x = 23,269,670.22
  5. Step 5: Solve for x
    x = 23,269,670.22/4,970.64
  6. Step 6: Final answer
    x = 4,681.42

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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.