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Finding the Fourth Proportional to 4,978.74, 6,870.67 and 2,710.07

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Solution

The fourth proportional to 4,978.74, 6,870.67 and 2,710.07 is: 3,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.74 : 6,870.67 = 2,710.07 : x
  2. Step 2: Convert to fraction form
    4,978.74/6,870.67 = 2,710.07/x
  3. Step 3: Cross multiply
    4,978.74x = 6,870.67 × 2,710.07
  4. Step 4: Simplify right side
    4,978.74x = 18,620,019.93
  5. Step 5: Solve for x
    x = 18,620,019.93/4,978.74
  6. Step 6: Final answer
    x = 3,739.90

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Why These Related Problems?

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