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Finding the Fourth Proportional to 4,974.04, 7,460.76 and 1,853.44

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Solution

The fourth proportional to 4,974.04, 7,460.76 and 1,853.44 is: 2,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.04 : 7,460.76 = 1,853.44 : x
  2. Step 2: Convert to fraction form
    4,974.04/7,460.76 = 1,853.44/x
  3. Step 3: Cross multiply
    4,974.04x = 7,460.76 × 1,853.44
  4. Step 4: Simplify right side
    4,974.04x = 13,828,071.01
  5. Step 5: Solve for x
    x = 13,828,071.01/4,974.04
  6. Step 6: Final answer
    x = 2,780.05

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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.