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Finding the Fourth Proportional to 3,534.57, 5,301.86 and 1,584.50

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Solution

The fourth proportional to 3,534.57, 5,301.86 and 1,584.50 is: 2,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.57 : 5,301.86 = 1,584.50 : x
  2. Step 2: Convert to fraction form
    3,534.57/5,301.86 = 1,584.50/x
  3. Step 3: Cross multiply
    3,534.57x = 5,301.86 × 1,584.50
  4. Step 4: Simplify right side
    3,534.57x = 8,400,762.74
  5. Step 5: Solve for x
    x = 8,400,762.74/3,534.57
  6. Step 6: Final answer
    x = 2,376.74

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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.