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Finding the Fourth Proportional to 4,741.57, 6,545.51 and 3,480.40

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Solution

The fourth proportional to 4,741.57, 6,545.51 and 3,480.40 is: 4,804.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.57 : 6,545.51 = 3,480.40 : x
  2. Step 2: Convert to fraction form
    4,741.57/6,545.51 = 3,480.40/x
  3. Step 3: Cross multiply
    4,741.57x = 6,545.51 × 3,480.40
  4. Step 4: Simplify right side
    4,741.57x = 22,780,993.00
  5. Step 5: Solve for x
    x = 22,780,993.00/4,741.57
  6. Step 6: Final answer
    x = 4,804.53

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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.