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Finding the Fourth Proportional to 4,858.24, 7,288.08 and 1,780

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Solution

The fourth proportional to 4,858.24, 7,288.08 and 1,780 is: 2,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.24 : 7,288.08 = 1,780 : x
  2. Step 2: Convert to fraction form
    4,858.24/7,288.08 = 1,780/x
  3. Step 3: Cross multiply
    4,858.24x = 7,288.08 × 1,780
  4. Step 4: Simplify right side
    4,858.24x = 12,972,782.40
  5. Step 5: Solve for x
    x = 12,972,782.40/4,858.24
  6. Step 6: Final answer
    x = 2,670.26

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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.