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Finding the Fourth Proportional to 4,975.66, 6,865.34 and 2,878.57

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Solution

The fourth proportional to 4,975.66, 6,865.34 and 2,878.57 is: 3,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.66 : 6,865.34 = 2,878.57 : x
  2. Step 2: Convert to fraction form
    4,975.66/6,865.34 = 2,878.57/x
  3. Step 3: Cross multiply
    4,975.66x = 6,865.34 × 2,878.57
  4. Step 4: Simplify right side
    4,975.66x = 19,762,347.37
  5. Step 5: Solve for x
    x = 19,762,347.37/4,975.66
  6. Step 6: Final answer
    x = 3,971.80

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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.