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Finding the Fourth Proportional to 4,389.90, 6,584.76 and 1,103.01

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Solution

The fourth proportional to 4,389.90, 6,584.76 and 1,103.01 is: 1,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389.90 : 6,584.76 = 1,103.01 : x
  2. Step 2: Convert to fraction form
    4,389.90/6,584.76 = 1,103.01/x
  3. Step 3: Cross multiply
    4,389.90x = 6,584.76 × 1,103.01
  4. Step 4: Simplify right side
    4,389.90x = 7,263,056.13
  5. Step 5: Solve for x
    x = 7,263,056.13/4,389.90
  6. Step 6: Final answer
    x = 1,654.49

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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.