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Finding the Fourth Proportional to 3,389.76, 5,102.64 and 2,888.64

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Solution

The fourth proportional to 3,389.76, 5,102.64 and 2,888.64 is: 4,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.76 : 5,102.64 = 2,888.64 : x
  2. Step 2: Convert to fraction form
    3,389.76/5,102.64 = 2,888.64/x
  3. Step 3: Cross multiply
    3,389.76x = 5,102.64 × 2,888.64
  4. Step 4: Simplify right side
    3,389.76x = 14,739,690.01
  5. Step 5: Solve for x
    x = 14,739,690.01/3,389.76
  6. Step 6: Final answer
    x = 4,348.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.