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Finding the Fourth Proportional to 4,913.01, 6,779.84 and 2,817

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Solution

The fourth proportional to 4,913.01, 6,779.84 and 2,817 is: 3,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.01 : 6,779.84 = 2,817 : x
  2. Step 2: Convert to fraction form
    4,913.01/6,779.84 = 2,817/x
  3. Step 3: Cross multiply
    4,913.01x = 6,779.84 × 2,817
  4. Step 4: Simplify right side
    4,913.01x = 19,098,795.20
  5. Step 5: Solve for x
    x = 19,098,795.20/4,913.01
  6. Step 6: Final answer
    x = 3,887.39

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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.