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Finding the Fourth Proportional to 4,127.54, 5,697.69 and 2,870.42

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Solution

The fourth proportional to 4,127.54, 5,697.69 and 2,870.42 is: 3,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.54 : 5,697.69 = 2,870.42 : x
  2. Step 2: Convert to fraction form
    4,127.54/5,697.69 = 2,870.42/x
  3. Step 3: Cross multiply
    4,127.54x = 5,697.69 × 2,870.42
  4. Step 4: Simplify right side
    4,127.54x = 16,354,763.33
  5. Step 5: Solve for x
    x = 16,354,763.33/4,127.54
  6. Step 6: Final answer
    x = 3,962.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.