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Finding the Fourth Proportional to 4,657.81, 6,426.21 and 2,641.01

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Solution

The fourth proportional to 4,657.81, 6,426.21 and 2,641.01 is: 3,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.81 : 6,426.21 = 2,641.01 : x
  2. Step 2: Convert to fraction form
    4,657.81/6,426.21 = 2,641.01/x
  3. Step 3: Cross multiply
    4,657.81x = 6,426.21 × 2,641.01
  4. Step 4: Simplify right side
    4,657.81x = 16,971,684.87
  5. Step 5: Solve for x
    x = 16,971,684.87/4,657.81
  6. Step 6: Final answer
    x = 3,643.70

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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.