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Finding the Fourth Proportional to 4,631.85, 6,950.34 and 1,712.07

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Solution

The fourth proportional to 4,631.85, 6,950.34 and 1,712.07 is: 2,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.85 : 6,950.34 = 1,712.07 : x
  2. Step 2: Convert to fraction form
    4,631.85/6,950.34 = 1,712.07/x
  3. Step 3: Cross multiply
    4,631.85x = 6,950.34 × 1,712.07
  4. Step 4: Simplify right side
    4,631.85x = 11,899,468.60
  5. Step 5: Solve for x
    x = 11,899,468.60/4,631.85
  6. Step 6: Final answer
    x = 2,569.05

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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.