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Finding the Fourth Proportional to 4,695.75, 7,043.58 and 4,462.17

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Solution

The fourth proportional to 4,695.75, 7,043.58 and 4,462.17 is: 6,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.75 : 7,043.58 = 4,462.17 : x
  2. Step 2: Convert to fraction form
    4,695.75/7,043.58 = 4,462.17/x
  3. Step 3: Cross multiply
    4,695.75x = 7,043.58 × 4,462.17
  4. Step 4: Simplify right side
    4,695.75x = 31,429,651.37
  5. Step 5: Solve for x
    x = 31,429,651.37/4,695.75
  6. Step 6: Final answer
    x = 6,693.21

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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.