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Finding the Fourth Proportional to 5,213.40, 7,820.02 and 1,703.53

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Solution

The fourth proportional to 5,213.40, 7,820.02 and 1,703.53 is: 2,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.40 : 7,820.02 = 1,703.53 : x
  2. Step 2: Convert to fraction form
    5,213.40/7,820.02 = 1,703.53/x
  3. Step 3: Cross multiply
    5,213.40x = 7,820.02 × 1,703.53
  4. Step 4: Simplify right side
    5,213.40x = 13,321,638.67
  5. Step 5: Solve for x
    x = 13,321,638.67/5,213.40
  6. Step 6: Final answer
    x = 2,555.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.