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Finding the Fourth Proportional to 4,570.71, 6,855.54 and 1,238.81

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Solution

The fourth proportional to 4,570.71, 6,855.54 and 1,238.81 is: 1,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.71 : 6,855.54 = 1,238.81 : x
  2. Step 2: Convert to fraction form
    4,570.71/6,855.54 = 1,238.81/x
  3. Step 3: Cross multiply
    4,570.71x = 6,855.54 × 1,238.81
  4. Step 4: Simplify right side
    4,570.71x = 8,492,677.23
  5. Step 5: Solve for x
    x = 8,492,677.23/4,570.71
  6. Step 6: Final answer
    x = 1,858.07

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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.