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Finding the Fourth Proportional to 5,671.85, 7,826 and 3,313.53

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Solution

The fourth proportional to 5,671.85, 7,826 and 3,313.53 is: 4,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.85 : 7,826 = 3,313.53 : x
  2. Step 2: Convert to fraction form
    5,671.85/7,826 = 3,313.53/x
  3. Step 3: Cross multiply
    5,671.85x = 7,826 × 3,313.53
  4. Step 4: Simplify right side
    5,671.85x = 25,931,685.78
  5. Step 5: Solve for x
    x = 25,931,685.78/5,671.85
  6. Step 6: Final answer
    x = 4,572.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.