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Finding the Fourth Proportional to 5,294.55, 7,931.80 and 3,534.24

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Solution

The fourth proportional to 5,294.55, 7,931.80 and 3,534.24 is: 5,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.55 : 7,931.80 = 3,534.24 : x
  2. Step 2: Convert to fraction form
    5,294.55/7,931.80 = 3,534.24/x
  3. Step 3: Cross multiply
    5,294.55x = 7,931.80 × 3,534.24
  4. Step 4: Simplify right side
    5,294.55x = 28,032,909.05
  5. Step 5: Solve for x
    x = 28,032,909.05/5,294.55
  6. Step 6: Final answer
    x = 5,294.67

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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.