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Finding the Fourth Proportional to 5,584.64, 8,374.08 and 3,637.76

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Solution

The fourth proportional to 5,584.64, 8,374.08 and 3,637.76 is: 5,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.64 : 8,374.08 = 3,637.76 : x
  2. Step 2: Convert to fraction form
    5,584.64/8,374.08 = 3,637.76/x
  3. Step 3: Cross multiply
    5,584.64x = 8,374.08 × 3,637.76
  4. Step 4: Simplify right side
    5,584.64x = 30,462,893.26
  5. Step 5: Solve for x
    x = 30,462,893.26/5,584.64
  6. Step 6: Final answer
    x = 5,454.76

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1.5x scale

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.