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Finding the Fourth Proportional to 4,547.88, 6,821.28 and 1,427.76

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Solution

The fourth proportional to 4,547.88, 6,821.28 and 1,427.76 is: 2,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.88 : 6,821.28 = 1,427.76 : x
  2. Step 2: Convert to fraction form
    4,547.88/6,821.28 = 1,427.76/x
  3. Step 3: Cross multiply
    4,547.88x = 6,821.28 × 1,427.76
  4. Step 4: Simplify right side
    4,547.88x = 9,739,150.73
  5. Step 5: Solve for x
    x = 9,739,150.73/4,547.88
  6. Step 6: Final answer
    x = 2,141.47

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Why These Related Problems?

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