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Finding the Fourth Proportional to 3,894.74, 5,842.14 and 1,430.11

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Solution

The fourth proportional to 3,894.74, 5,842.14 and 1,430.11 is: 2,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.74 : 5,842.14 = 1,430.11 : x
  2. Step 2: Convert to fraction form
    3,894.74/5,842.14 = 1,430.11/x
  3. Step 3: Cross multiply
    3,894.74x = 5,842.14 × 1,430.11
  4. Step 4: Simplify right side
    3,894.74x = 8,354,902.84
  5. Step 5: Solve for x
    x = 8,354,902.84/3,894.74
  6. Step 6: Final answer
    x = 2,145.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.