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Finding the Fourth Proportional to 4,901.18, 6,765 and 4,019.09

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Solution

The fourth proportional to 4,901.18, 6,765 and 4,019.09 is: 5,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.18 : 6,765 = 4,019.09 : x
  2. Step 2: Convert to fraction form
    4,901.18/6,765 = 4,019.09/x
  3. Step 3: Cross multiply
    4,901.18x = 6,765 × 4,019.09
  4. Step 4: Simplify right side
    4,901.18x = 27,189,110.03
  5. Step 5: Solve for x
    x = 27,189,110.03/4,901.18
  6. Step 6: Final answer
    x = 5,547.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.