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Finding the Fourth Proportional to 4,768.69, 7,152.43 and 1,258.98

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Solution

The fourth proportional to 4,768.69, 7,152.43 and 1,258.98 is: 1,888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.69 : 7,152.43 = 1,258.98 : x
  2. Step 2: Convert to fraction form
    4,768.69/7,152.43 = 1,258.98/x
  3. Step 3: Cross multiply
    4,768.69x = 7,152.43 × 1,258.98
  4. Step 4: Simplify right side
    4,768.69x = 9,004,795.52
  5. Step 5: Solve for x
    x = 9,004,795.52/4,768.69
  6. Step 6: Final answer
    x = 1,888.32

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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.