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Finding the Fourth Proportional to 4,367.70, 6,547.43 and 2,174.36

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Solution

The fourth proportional to 4,367.70, 6,547.43 and 2,174.36 is: 3,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.70 : 6,547.43 = 2,174.36 : x
  2. Step 2: Convert to fraction form
    4,367.70/6,547.43 = 2,174.36/x
  3. Step 3: Cross multiply
    4,367.70x = 6,547.43 × 2,174.36
  4. Step 4: Simplify right side
    4,367.70x = 14,236,442.59
  5. Step 5: Solve for x
    x = 14,236,442.59/4,367.70
  6. Step 6: Final answer
    x = 3,259.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.