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Finding the Fourth Proportional to 4,832.90, 7,238.10 and 4,699.88

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Solution

The fourth proportional to 4,832.90, 7,238.10 and 4,699.88 is: 7,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.90 : 7,238.10 = 4,699.88 : x
  2. Step 2: Convert to fraction form
    4,832.90/7,238.10 = 4,699.88/x
  3. Step 3: Cross multiply
    4,832.90x = 7,238.10 × 4,699.88
  4. Step 4: Simplify right side
    4,832.90x = 34,018,201.43
  5. Step 5: Solve for x
    x = 34,018,201.43/4,832.90
  6. Step 6: Final answer
    x = 7,038.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.