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Finding the Fourth Proportional to 4,842.19, 6,681.19 and 2,852.02

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Solution

The fourth proportional to 4,842.19, 6,681.19 and 2,852.02 is: 3,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.19 : 6,681.19 = 2,852.02 : x
  2. Step 2: Convert to fraction form
    4,842.19/6,681.19 = 2,852.02/x
  3. Step 3: Cross multiply
    4,842.19x = 6,681.19 × 2,852.02
  4. Step 4: Simplify right side
    4,842.19x = 19,054,863.67
  5. Step 5: Solve for x
    x = 19,054,863.67/4,842.19
  6. Step 6: Final answer
    x = 3,935.18

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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.