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Finding the Fourth Proportional to 4,877.60, 7,300.02 and 4,057.52

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Solution

The fourth proportional to 4,877.60, 7,300.02 and 4,057.52 is: 6,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.60 : 7,300.02 = 4,057.52 : x
  2. Step 2: Convert to fraction form
    4,877.60/7,300.02 = 4,057.52/x
  3. Step 3: Cross multiply
    4,877.60x = 7,300.02 × 4,057.52
  4. Step 4: Simplify right side
    4,877.60x = 29,619,977.15
  5. Step 5: Solve for x
    x = 29,619,977.15/4,877.60
  6. Step 6: Final answer
    x = 6,072.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.