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Finding the Fourth Proportional to 3,746.88, 5,620.32 and 973.62

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Solution

The fourth proportional to 3,746.88, 5,620.32 and 973.62 is: 1,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.88 : 5,620.32 = 973.62 : x
  2. Step 2: Convert to fraction form
    3,746.88/5,620.32 = 973.62/x
  3. Step 3: Cross multiply
    3,746.88x = 5,620.32 × 973.62
  4. Step 4: Simplify right side
    3,746.88x = 5,472,055.96
  5. Step 5: Solve for x
    x = 5,472,055.96/3,746.88
  6. Step 6: Final answer
    x = 1,460.43

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Similar ratio
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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.