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Finding the Fourth Proportional to 4,187.68, 5,780.88 and 3,014.56

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Solution

The fourth proportional to 4,187.68, 5,780.88 and 3,014.56 is: 4,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.68 : 5,780.88 = 3,014.56 : x
  2. Step 2: Convert to fraction form
    4,187.68/5,780.88 = 3,014.56/x
  3. Step 3: Cross multiply
    4,187.68x = 5,780.88 × 3,014.56
  4. Step 4: Simplify right side
    4,187.68x = 17,426,809.61
  5. Step 5: Solve for x
    x = 17,426,809.61/4,187.68
  6. Step 6: Final answer
    x = 4,161.45

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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.