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Finding the Fourth Proportional to 3,492.69, 5,237.01 and 1,410.99

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Solution

The fourth proportional to 3,492.69, 5,237.01 and 1,410.99 is: 2,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.69 : 5,237.01 = 1,410.99 : x
  2. Step 2: Convert to fraction form
    3,492.69/5,237.01 = 1,410.99/x
  3. Step 3: Cross multiply
    3,492.69x = 5,237.01 × 1,410.99
  4. Step 4: Simplify right side
    3,492.69x = 7,389,368.74
  5. Step 5: Solve for x
    x = 7,389,368.74/3,492.69
  6. Step 6: Final answer
    x = 2,115.67

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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.