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Finding the Fourth Proportional to 3,746.80, 5,620.20 and 973.45

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Solution

The fourth proportional to 3,746.80, 5,620.20 and 973.45 is: 1,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.80 : 5,620.20 = 973.45 : x
  2. Step 2: Convert to fraction form
    3,746.80/5,620.20 = 973.45/x
  3. Step 3: Cross multiply
    3,746.80x = 5,620.20 × 973.45
  4. Step 4: Simplify right side
    3,746.80x = 5,470,983.69
  5. Step 5: Solve for x
    x = 5,470,983.69/3,746.80
  6. Step 6: Final answer
    x = 1,460.18

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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.