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Finding the Fourth Proportional to 4,077.80, 6,119.90 and 1,886.80

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Solution

The fourth proportional to 4,077.80, 6,119.90 and 1,886.80 is: 2,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.80 : 6,119.90 = 1,886.80 : x
  2. Step 2: Convert to fraction form
    4,077.80/6,119.90 = 1,886.80/x
  3. Step 3: Cross multiply
    4,077.80x = 6,119.90 × 1,886.80
  4. Step 4: Simplify right side
    4,077.80x = 11,547,027.32
  5. Step 5: Solve for x
    x = 11,547,027.32/4,077.80
  6. Step 6: Final answer
    x = 2,831.68

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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.