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Finding the Fourth Proportional to 5,437.75, 7,503.74 and 3,047.30

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Solution

The fourth proportional to 5,437.75, 7,503.74 and 3,047.30 is: 4,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.75 : 7,503.74 = 3,047.30 : x
  2. Step 2: Convert to fraction form
    5,437.75/7,503.74 = 3,047.30/x
  3. Step 3: Cross multiply
    5,437.75x = 7,503.74 × 3,047.30
  4. Step 4: Simplify right side
    5,437.75x = 22,866,150.42
  5. Step 5: Solve for x
    x = 22,866,150.42/5,437.75
  6. Step 6: Final answer
    x = 4,205.08

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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.