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Finding the Fourth Proportional to 4,878.15, 7,316.67 and 1,415.40

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Solution

The fourth proportional to 4,878.15, 7,316.67 and 1,415.40 is: 2,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.15 : 7,316.67 = 1,415.40 : x
  2. Step 2: Convert to fraction form
    4,878.15/7,316.67 = 1,415.40/x
  3. Step 3: Cross multiply
    4,878.15x = 7,316.67 × 1,415.40
  4. Step 4: Simplify right side
    4,878.15x = 10,356,014.72
  5. Step 5: Solve for x
    x = 10,356,014.72/4,878.15
  6. Step 6: Final answer
    x = 2,122.94

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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.