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Finding the Fourth Proportional to 4,275.81, 6,412.08 and 2,054.01

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Solution

The fourth proportional to 4,275.81, 6,412.08 and 2,054.01 is: 3,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.81 : 6,412.08 = 2,054.01 : x
  2. Step 2: Convert to fraction form
    4,275.81/6,412.08 = 2,054.01/x
  3. Step 3: Cross multiply
    4,275.81x = 6,412.08 × 2,054.01
  4. Step 4: Simplify right side
    4,275.81x = 13,170,447.34
  5. Step 5: Solve for x
    x = 13,170,447.34/4,275.81
  6. Step 6: Final answer
    x = 3,080.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.