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Finding the Fourth Proportional to 3,071.47, 4,238.52 and 1,812.58

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Solution

The fourth proportional to 3,071.47, 4,238.52 and 1,812.58 is: 2,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.47 : 4,238.52 = 1,812.58 : x
  2. Step 2: Convert to fraction form
    3,071.47/4,238.52 = 1,812.58/x
  3. Step 3: Cross multiply
    3,071.47x = 4,238.52 × 1,812.58
  4. Step 4: Simplify right side
    3,071.47x = 7,682,656.58
  5. Step 5: Solve for x
    x = 7,682,656.58/3,071.47
  6. Step 6: Final answer
    x = 2,501.30

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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.