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Finding the Fourth Proportional to 4,978.10, 6,869.67 and 2,854.01

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Solution

The fourth proportional to 4,978.10, 6,869.67 and 2,854.01 is: 3,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.10 : 6,869.67 = 2,854.01 : x
  2. Step 2: Convert to fraction form
    4,978.10/6,869.67 = 2,854.01/x
  3. Step 3: Cross multiply
    4,978.10x = 6,869.67 × 2,854.01
  4. Step 4: Simplify right side
    4,978.10x = 19,606,106.88
  5. Step 5: Solve for x
    x = 19,606,106.88/4,978.10
  6. Step 6: Final answer
    x = 3,938.47

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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.