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Finding the Fourth Proportional to 4,626.53, 6,384.67 and 2,530.66

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Solution

The fourth proportional to 4,626.53, 6,384.67 and 2,530.66 is: 3,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.53 : 6,384.67 = 2,530.66 : x
  2. Step 2: Convert to fraction form
    4,626.53/6,384.67 = 2,530.66/x
  3. Step 3: Cross multiply
    4,626.53x = 6,384.67 × 2,530.66
  4. Step 4: Simplify right side
    4,626.53x = 16,157,400.37
  5. Step 5: Solve for x
    x = 16,157,400.37/4,626.53
  6. Step 6: Final answer
    x = 3,492.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.