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Finding the Fourth Proportional to 3,534.42, 5,296.95 and 1,558.74

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Solution

The fourth proportional to 3,534.42, 5,296.95 and 1,558.74 is: 2,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.42 : 5,296.95 = 1,558.74 : x
  2. Step 2: Convert to fraction form
    3,534.42/5,296.95 = 1,558.74/x
  3. Step 3: Cross multiply
    3,534.42x = 5,296.95 × 1,558.74
  4. Step 4: Simplify right side
    3,534.42x = 8,256,567.84
  5. Step 5: Solve for x
    x = 8,256,567.84/3,534.42
  6. Step 6: Final answer
    x = 2,336.05

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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.