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Finding the Fourth Proportional to 6,257.40, 9,386.58 and 1,874.52

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Solution

The fourth proportional to 6,257.40, 9,386.58 and 1,874.52 is: 2,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.40 : 9,386.58 = 1,874.52 : x
  2. Step 2: Convert to fraction form
    6,257.40/9,386.58 = 1,874.52/x
  3. Step 3: Cross multiply
    6,257.40x = 9,386.58 × 1,874.52
  4. Step 4: Simplify right side
    6,257.40x = 17,595,331.94
  5. Step 5: Solve for x
    x = 17,595,331.94/6,257.40
  6. Step 6: Final answer
    x = 2,811.92

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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.