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Finding the Fourth Proportional to 5,852.48, 8,778.72 and 2,389.12

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Solution

The fourth proportional to 5,852.48, 8,778.72 and 2,389.12 is: 3,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.48 : 8,778.72 = 2,389.12 : x
  2. Step 2: Convert to fraction form
    5,852.48/8,778.72 = 2,389.12/x
  3. Step 3: Cross multiply
    5,852.48x = 8,778.72 × 2,389.12
  4. Step 4: Simplify right side
    5,852.48x = 20,973,415.53
  5. Step 5: Solve for x
    x = 20,973,415.53/5,852.48
  6. Step 6: Final answer
    x = 3,583.68

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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.