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Finding the Fourth Proportional to 4,547.76, 6,821.73 and 1,427.70

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Solution

The fourth proportional to 4,547.76, 6,821.73 and 1,427.70 is: 2,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.76 : 6,821.73 = 1,427.70 : x
  2. Step 2: Convert to fraction form
    4,547.76/6,821.73 = 1,427.70/x
  3. Step 3: Cross multiply
    4,547.76x = 6,821.73 × 1,427.70
  4. Step 4: Simplify right side
    4,547.76x = 9,739,383.92
  5. Step 5: Solve for x
    x = 9,739,383.92/4,547.76
  6. Step 6: Final answer
    x = 2,141.58

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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.