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Finding the Fourth Proportional to 5,896.80, 8,838.72 and 2,430

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Solution

The fourth proportional to 5,896.80, 8,838.72 and 2,430 is: 3,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.80 : 8,838.72 = 2,430 : x
  2. Step 2: Convert to fraction form
    5,896.80/8,838.72 = 2,430/x
  3. Step 3: Cross multiply
    5,896.80x = 8,838.72 × 2,430
  4. Step 4: Simplify right side
    5,896.80x = 21,478,089.60
  5. Step 5: Solve for x
    x = 21,478,089.60/5,896.80
  6. Step 6: Final answer
    x = 3,642.33

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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.