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Finding the Fourth Proportional to 5,762.12, 7,948.02 and 3,404.12

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Solution

The fourth proportional to 5,762.12, 7,948.02 and 3,404.12 is: 4,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.12 : 7,948.02 = 3,404.12 : x
  2. Step 2: Convert to fraction form
    5,762.12/7,948.02 = 3,404.12/x
  3. Step 3: Cross multiply
    5,762.12x = 7,948.02 × 3,404.12
  4. Step 4: Simplify right side
    5,762.12x = 27,056,013.84
  5. Step 5: Solve for x
    x = 27,056,013.84/5,762.12
  6. Step 6: Final answer
    x = 4,695.50

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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.