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Finding the Fourth Proportional to 4,643.76, 6,406 and 3,050.18

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Solution

The fourth proportional to 4,643.76, 6,406 and 3,050.18 is: 4,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.76 : 6,406 = 3,050.18 : x
  2. Step 2: Convert to fraction form
    4,643.76/6,406 = 3,050.18/x
  3. Step 3: Cross multiply
    4,643.76x = 6,406 × 3,050.18
  4. Step 4: Simplify right side
    4,643.76x = 19,539,453.08
  5. Step 5: Solve for x
    x = 19,539,453.08/4,643.76
  6. Step 6: Final answer
    x = 4,207.68

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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.