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Finding the Fourth Proportional to 3,572.64, 5,358.96 and 975.78

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Solution

The fourth proportional to 3,572.64, 5,358.96 and 975.78 is: 1,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.64 : 5,358.96 = 975.78 : x
  2. Step 2: Convert to fraction form
    3,572.64/5,358.96 = 975.78/x
  3. Step 3: Cross multiply
    3,572.64x = 5,358.96 × 975.78
  4. Step 4: Simplify right side
    3,572.64x = 5,229,165.99
  5. Step 5: Solve for x
    x = 5,229,165.99/3,572.64
  6. Step 6: Final answer
    x = 1,463.67

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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.