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Finding the Fourth Proportional to 4,675.96, 7,013.96 and 1,389.08

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Solution

The fourth proportional to 4,675.96, 7,013.96 and 1,389.08 is: 2,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.96 : 7,013.96 = 1,389.08 : x
  2. Step 2: Convert to fraction form
    4,675.96/7,013.96 = 1,389.08/x
  3. Step 3: Cross multiply
    4,675.96x = 7,013.96 × 1,389.08
  4. Step 4: Simplify right side
    4,675.96x = 9,742,967.36
  5. Step 5: Solve for x
    x = 9,742,967.36/4,675.96
  6. Step 6: Final answer
    x = 2,083.63

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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.