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Finding the Fourth Proportional to 4,988.96, 7,484 and 4,072.32

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Solution

The fourth proportional to 4,988.96, 7,484 and 4,072.32 is: 6,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,988.96 : 7,484 = 4,072.32 : x
  2. Step 2: Convert to fraction form
    4,988.96/7,484 = 4,072.32/x
  3. Step 3: Cross multiply
    4,988.96x = 7,484 × 4,072.32
  4. Step 4: Simplify right side
    4,988.96x = 30,477,242.88
  5. Step 5: Solve for x
    x = 30,477,242.88/4,988.96
  6. Step 6: Final answer
    x = 6,108.94

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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.