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Finding the Fourth Proportional to 4,966.24, 7,450.32 and 1,888

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Solution

The fourth proportional to 4,966.24, 7,450.32 and 1,888 is: 2,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.24 : 7,450.32 = 1,888 : x
  2. Step 2: Convert to fraction form
    4,966.24/7,450.32 = 1,888/x
  3. Step 3: Cross multiply
    4,966.24x = 7,450.32 × 1,888
  4. Step 4: Simplify right side
    4,966.24x = 14,066,204.16
  5. Step 5: Solve for x
    x = 14,066,204.16/4,966.24
  6. Step 6: Final answer
    x = 2,832.36

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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.