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Finding the Fourth Proportional to 4,954.06, 7,430.28 and 1,490.50

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Solution

The fourth proportional to 4,954.06, 7,430.28 and 1,490.50 is: 2,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.06 : 7,430.28 = 1,490.50 : x
  2. Step 2: Convert to fraction form
    4,954.06/7,430.28 = 1,490.50/x
  3. Step 3: Cross multiply
    4,954.06x = 7,430.28 × 1,490.50
  4. Step 4: Simplify right side
    4,954.06x = 11,074,832.34
  5. Step 5: Solve for x
    x = 11,074,832.34/4,954.06
  6. Step 6: Final answer
    x = 2,235.51

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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.