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Finding the Fourth Proportional to 3,570.21, 5,355.32 and 973.22

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Solution

The fourth proportional to 3,570.21, 5,355.32 and 973.22 is: 1,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.21 : 5,355.32 = 973.22 : x
  2. Step 2: Convert to fraction form
    3,570.21/5,355.32 = 973.22/x
  3. Step 3: Cross multiply
    3,570.21x = 5,355.32 × 973.22
  4. Step 4: Simplify right side
    3,570.21x = 5,211,872.89
  5. Step 5: Solve for x
    x = 5,211,872.89/3,570.21
  6. Step 6: Final answer
    x = 1,459.82

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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.