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Finding the Fourth Proportional to 5,884.08, 8,812.62 and 3,412.77

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Solution

The fourth proportional to 5,884.08, 8,812.62 and 3,412.77 is: 5,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.08 : 8,812.62 = 3,412.77 : x
  2. Step 2: Convert to fraction form
    5,884.08/8,812.62 = 3,412.77/x
  3. Step 3: Cross multiply
    5,884.08x = 8,812.62 × 3,412.77
  4. Step 4: Simplify right side
    5,884.08x = 30,075,445.16
  5. Step 5: Solve for x
    x = 30,075,445.16/5,884.08
  6. Step 6: Final answer
    x = 5,111.32

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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.