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Finding the Fourth Proportional to 5,732.41, 8,598.62 and 3,784.16

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Solution

The fourth proportional to 5,732.41, 8,598.62 and 3,784.16 is: 5,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.41 : 8,598.62 = 3,784.16 : x
  2. Step 2: Convert to fraction form
    5,732.41/8,598.62 = 3,784.16/x
  3. Step 3: Cross multiply
    5,732.41x = 8,598.62 × 3,784.16
  4. Step 4: Simplify right side
    5,732.41x = 32,538,569.34
  5. Step 5: Solve for x
    x = 32,538,569.34/5,732.41
  6. Step 6: Final answer
    x = 5,676.24

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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.