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Finding the Fourth Proportional to 3,527.64, 5,291.28 and 930.48

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Solution

The fourth proportional to 3,527.64, 5,291.28 and 930.48 is: 1,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.64 : 5,291.28 = 930.48 : x
  2. Step 2: Convert to fraction form
    3,527.64/5,291.28 = 930.48/x
  3. Step 3: Cross multiply
    3,527.64x = 5,291.28 × 930.48
  4. Step 4: Simplify right side
    3,527.64x = 4,923,430.21
  5. Step 5: Solve for x
    x = 4,923,430.21/3,527.64
  6. Step 6: Final answer
    x = 1,395.67

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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.