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Finding the Fourth Proportional to 4,748.96, 7,124.10 and 1,462.32

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Solution

The fourth proportional to 4,748.96, 7,124.10 and 1,462.32 is: 2,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.96 : 7,124.10 = 1,462.32 : x
  2. Step 2: Convert to fraction form
    4,748.96/7,124.10 = 1,462.32/x
  3. Step 3: Cross multiply
    4,748.96x = 7,124.10 × 1,462.32
  4. Step 4: Simplify right side
    4,748.96x = 10,417,713.91
  5. Step 5: Solve for x
    x = 10,417,713.91/4,748.96
  6. Step 6: Final answer
    x = 2,193.68

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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.