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Finding the Fourth Proportional to 4,869.51, 7,304.97 and 1,536.63

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Solution

The fourth proportional to 4,869.51, 7,304.97 and 1,536.63 is: 2,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.51 : 7,304.97 = 1,536.63 : x
  2. Step 2: Convert to fraction form
    4,869.51/7,304.97 = 1,536.63/x
  3. Step 3: Cross multiply
    4,869.51x = 7,304.97 × 1,536.63
  4. Step 4: Simplify right side
    4,869.51x = 11,225,036.05
  5. Step 5: Solve for x
    x = 11,225,036.05/4,869.51
  6. Step 6: Final answer
    x = 2,305.17

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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.