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Finding the Fourth Proportional to 4,978.20, 6,870.23 and 2,740.57

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Solution

The fourth proportional to 4,978.20, 6,870.23 and 2,740.57 is: 3,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.20 : 6,870.23 = 2,740.57 : x
  2. Step 2: Convert to fraction form
    4,978.20/6,870.23 = 2,740.57/x
  3. Step 3: Cross multiply
    4,978.20x = 6,870.23 × 2,740.57
  4. Step 4: Simplify right side
    4,978.20x = 18,828,346.23
  5. Step 5: Solve for x
    x = 18,828,346.23/4,978.20
  6. Step 6: Final answer
    x = 3,782.16

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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.