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Finding the Fourth Proportional to 5,641.75, 7,785.63 and 3,285.47

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Solution

The fourth proportional to 5,641.75, 7,785.63 and 3,285.47 is: 4,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.75 : 7,785.63 = 3,285.47 : x
  2. Step 2: Convert to fraction form
    5,641.75/7,785.63 = 3,285.47/x
  3. Step 3: Cross multiply
    5,641.75x = 7,785.63 × 3,285.47
  4. Step 4: Simplify right side
    5,641.75x = 25,579,437.37
  5. Step 5: Solve for x
    x = 25,579,437.37/5,641.75
  6. Step 6: Final answer
    x = 4,533.95

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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.