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Finding the Fourth Proportional to 3,657.81, 5,483.88 and 1,807.65

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Solution

The fourth proportional to 3,657.81, 5,483.88 and 1,807.65 is: 2,710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.81 : 5,483.88 = 1,807.65 : x
  2. Step 2: Convert to fraction form
    3,657.81/5,483.88 = 1,807.65/x
  3. Step 3: Cross multiply
    3,657.81x = 5,483.88 × 1,807.65
  4. Step 4: Simplify right side
    3,657.81x = 9,912,935.68
  5. Step 5: Solve for x
    x = 9,912,935.68/3,657.81
  6. Step 6: Final answer
    x = 2,710.07

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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.