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Finding the Fourth Proportional to 3,657.70, 5,486.55 and 2,275.30

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Solution

The fourth proportional to 3,657.70, 5,486.55 and 2,275.30 is: 3,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.70 : 5,486.55 = 2,275.30 : x
  2. Step 2: Convert to fraction form
    3,657.70/5,486.55 = 2,275.30/x
  3. Step 3: Cross multiply
    3,657.70x = 5,486.55 × 2,275.30
  4. Step 4: Simplify right side
    3,657.70x = 12,483,547.22
  5. Step 5: Solve for x
    x = 12,483,547.22/3,657.70
  6. Step 6: Final answer
    x = 3,412.95

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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.