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Finding the Fourth Proportional to 5,358.58, 8,024.02 and 3,697.83

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Solution

The fourth proportional to 5,358.58, 8,024.02 and 3,697.83 is: 5,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.58 : 8,024.02 = 3,697.83 : x
  2. Step 2: Convert to fraction form
    5,358.58/8,024.02 = 3,697.83/x
  3. Step 3: Cross multiply
    5,358.58x = 8,024.02 × 3,697.83
  4. Step 4: Simplify right side
    5,358.58x = 29,671,461.88
  5. Step 5: Solve for x
    x = 29,671,461.88/5,358.58
  6. Step 6: Final answer
    x = 5,537.19

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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.