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Finding the Fourth Proportional to 4,743.76, 7,118.37 and 1,970.52

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Solution

The fourth proportional to 4,743.76, 7,118.37 and 1,970.52 is: 2,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.76 : 7,118.37 = 1,970.52 : x
  2. Step 2: Convert to fraction form
    4,743.76/7,118.37 = 1,970.52/x
  3. Step 3: Cross multiply
    4,743.76x = 7,118.37 × 1,970.52
  4. Step 4: Simplify right side
    4,743.76x = 14,026,845.01
  5. Step 5: Solve for x
    x = 14,026,845.01/4,743.76
  6. Step 6: Final answer
    x = 2,956.91

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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.