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Finding the Fourth Proportional to 5,421, 7,485.98 and 4,358.96

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Solution

The fourth proportional to 5,421, 7,485.98 and 4,358.96 is: 6,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421 : 7,485.98 = 4,358.96 : x
  2. Step 2: Convert to fraction form
    5,421/7,485.98 = 4,358.96/x
  3. Step 3: Cross multiply
    5,421x = 7,485.98 × 4,358.96
  4. Step 4: Simplify right side
    5,421x = 32,631,087.38
  5. Step 5: Solve for x
    x = 32,631,087.38/5,421
  6. Step 6: Final answer
    x = 6,019.39

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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.