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Finding the Fourth Proportional to 5,829.52, 8,037.74 and 4,763.34

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Solution

The fourth proportional to 5,829.52, 8,037.74 and 4,763.34 is: 6,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.52 : 8,037.74 = 4,763.34 : x
  2. Step 2: Convert to fraction form
    5,829.52/8,037.74 = 4,763.34/x
  3. Step 3: Cross multiply
    5,829.52x = 8,037.74 × 4,763.34
  4. Step 4: Simplify right side
    5,829.52x = 38,286,488.45
  5. Step 5: Solve for x
    x = 38,286,488.45/5,829.52
  6. Step 6: Final answer
    x = 6,567.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.