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Finding the Fourth Proportional to 4,994.96, 7,492.08 and 1,532

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Solution

The fourth proportional to 4,994.96, 7,492.08 and 1,532 is: 2,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.96 : 7,492.08 = 1,532 : x
  2. Step 2: Convert to fraction form
    4,994.96/7,492.08 = 1,532/x
  3. Step 3: Cross multiply
    4,994.96x = 7,492.08 × 1,532
  4. Step 4: Simplify right side
    4,994.96x = 11,477,866.56
  5. Step 5: Solve for x
    x = 11,477,866.56/4,994.96
  6. Step 6: Final answer
    x = 2,297.89

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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.