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Finding the Fourth Proportional to 4,738.76, 7,111.98 and 2,430.92

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Solution

The fourth proportional to 4,738.76, 7,111.98 and 2,430.92 is: 3,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.76 : 7,111.98 = 2,430.92 : x
  2. Step 2: Convert to fraction form
    4,738.76/7,111.98 = 2,430.92/x
  3. Step 3: Cross multiply
    4,738.76x = 7,111.98 × 2,430.92
  4. Step 4: Simplify right side
    4,738.76x = 17,288,654.42
  5. Step 5: Solve for x
    x = 17,288,654.42/4,738.76
  6. Step 6: Final answer
    x = 3,648.35

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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.