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Finding the Fourth Proportional to 4,547.06, 6,819.83 and 1,260.49

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Solution

The fourth proportional to 4,547.06, 6,819.83 and 1,260.49 is: 1,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.06 : 6,819.83 = 1,260.49 : x
  2. Step 2: Convert to fraction form
    4,547.06/6,819.83 = 1,260.49/x
  3. Step 3: Cross multiply
    4,547.06x = 6,819.83 × 1,260.49
  4. Step 4: Simplify right side
    4,547.06x = 8,596,304.16
  5. Step 5: Solve for x
    x = 8,596,304.16/4,547.06
  6. Step 6: Final answer
    x = 1,890.52

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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.