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Finding the Fourth Proportional to 6,051.96, 8,352 and 3,534.03

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Solution

The fourth proportional to 6,051.96, 8,352 and 3,534.03 is: 4,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.96 : 8,352 = 3,534.03 : x
  2. Step 2: Convert to fraction form
    6,051.96/8,352 = 3,534.03/x
  3. Step 3: Cross multiply
    6,051.96x = 8,352 × 3,534.03
  4. Step 4: Simplify right side
    6,051.96x = 29,516,218.56
  5. Step 5: Solve for x
    x = 29,516,218.56/6,051.96
  6. Step 6: Final answer
    x = 4,877.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.