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Finding the Fourth Proportional to 3,570.40, 5,352.72 and 1,492.00

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Solution

The fourth proportional to 3,570.40, 5,352.72 and 1,492.00 is: 2,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.40 : 5,352.72 = 1,492.00 : x
  2. Step 2: Convert to fraction form
    3,570.40/5,352.72 = 1,492.00/x
  3. Step 3: Cross multiply
    3,570.40x = 5,352.72 × 1,492.00
  4. Step 4: Simplify right side
    3,570.40x = 7,986,239.26
  5. Step 5: Solve for x
    x = 7,986,239.26/3,570.40
  6. Step 6: Final answer
    x = 2,236.79

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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.