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Finding the Fourth Proportional to 4,681.70, 7,027.10 and 3,652.90

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Solution

The fourth proportional to 4,681.70, 7,027.10 and 3,652.90 is: 5,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.70 : 7,027.10 = 3,652.90 : x
  2. Step 2: Convert to fraction form
    4,681.70/7,027.10 = 3,652.90/x
  3. Step 3: Cross multiply
    4,681.70x = 7,027.10 × 3,652.90
  4. Step 4: Simplify right side
    4,681.70x = 25,669,293.59
  5. Step 5: Solve for x
    x = 25,669,293.59/4,681.70
  6. Step 6: Final answer
    x = 5,482.90

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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.