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Finding the Fourth Proportional to 4,492.14, 6,739.17 and 1,570.54

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Solution

The fourth proportional to 4,492.14, 6,739.17 and 1,570.54 is: 2,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.14 : 6,739.17 = 1,570.54 : x
  2. Step 2: Convert to fraction form
    4,492.14/6,739.17 = 1,570.54/x
  3. Step 3: Cross multiply
    4,492.14x = 6,739.17 × 1,570.54
  4. Step 4: Simplify right side
    4,492.14x = 10,584,136.05
  5. Step 5: Solve for x
    x = 10,584,136.05/4,492.14
  6. Step 6: Final answer
    x = 2,356.15

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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.