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Finding the Fourth Proportional to 4,741.98, 6,530.63 and 4,639.90

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Solution

The fourth proportional to 4,741.98, 6,530.63 and 4,639.90 is: 6,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.98 : 6,530.63 = 4,639.90 : x
  2. Step 2: Convert to fraction form
    4,741.98/6,530.63 = 4,639.90/x
  3. Step 3: Cross multiply
    4,741.98x = 6,530.63 × 4,639.90
  4. Step 4: Simplify right side
    4,741.98x = 30,301,470.14
  5. Step 5: Solve for x
    x = 30,301,470.14/4,741.98
  6. Step 6: Final answer
    x = 6,390.05

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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.