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Finding the Fourth Proportional to 5,293.94, 7,302.33 and 3,407.99

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Solution

The fourth proportional to 5,293.94, 7,302.33 and 3,407.99 is: 4,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.94 : 7,302.33 = 3,407.99 : x
  2. Step 2: Convert to fraction form
    5,293.94/7,302.33 = 3,407.99/x
  3. Step 3: Cross multiply
    5,293.94x = 7,302.33 × 3,407.99
  4. Step 4: Simplify right side
    5,293.94x = 24,886,231.11
  5. Step 5: Solve for x
    x = 24,886,231.11/5,293.94
  6. Step 6: Final answer
    x = 4,700.89

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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.