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Finding the Fourth Proportional to 5,337.24, 7,359.84 and 3,852.24

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Solution

The fourth proportional to 5,337.24, 7,359.84 and 3,852.24 is: 5,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.24 : 7,359.84 = 3,852.24 : x
  2. Step 2: Convert to fraction form
    5,337.24/7,359.84 = 3,852.24/x
  3. Step 3: Cross multiply
    5,337.24x = 7,359.84 × 3,852.24
  4. Step 4: Simplify right side
    5,337.24x = 28,351,870.04
  5. Step 5: Solve for x
    x = 28,351,870.04/5,337.24
  6. Step 6: Final answer
    x = 5,312.08

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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.