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Finding the Fourth Proportional to 3,407.52, 5,106.84 and 1,558.32

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Solution

The fourth proportional to 3,407.52, 5,106.84 and 1,558.32 is: 2,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.52 : 5,106.84 = 1,558.32 : x
  2. Step 2: Convert to fraction form
    3,407.52/5,106.84 = 1,558.32/x
  3. Step 3: Cross multiply
    3,407.52x = 5,106.84 × 1,558.32
  4. Step 4: Simplify right side
    3,407.52x = 7,958,090.91
  5. Step 5: Solve for x
    x = 7,958,090.91/3,407.52
  6. Step 6: Final answer
    x = 2,335.45

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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.