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Finding the Fourth Proportional to 4,901.75, 6,765.86 and 2,913.50

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Solution

The fourth proportional to 4,901.75, 6,765.86 and 2,913.50 is: 4,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.75 : 6,765.86 = 2,913.50 : x
  2. Step 2: Convert to fraction form
    4,901.75/6,765.86 = 2,913.50/x
  3. Step 3: Cross multiply
    4,901.75x = 6,765.86 × 2,913.50
  4. Step 4: Simplify right side
    4,901.75x = 19,712,357.31
  5. Step 5: Solve for x
    x = 19,712,357.31/4,901.75
  6. Step 6: Final answer
    x = 4,021.49

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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.