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Finding the Fourth Proportional to 5,384.94, 7,431.95 and 3,260.55

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Solution

The fourth proportional to 5,384.94, 7,431.95 and 3,260.55 is: 4,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.94 : 7,431.95 = 3,260.55 : x
  2. Step 2: Convert to fraction form
    5,384.94/7,431.95 = 3,260.55/x
  3. Step 3: Cross multiply
    5,384.94x = 7,431.95 × 3,260.55
  4. Step 4: Simplify right side
    5,384.94x = 24,232,228.27
  5. Step 5: Solve for x
    x = 24,232,228.27/5,384.94
  6. Step 6: Final answer
    x = 4,500.00

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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.