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Finding the Fourth Proportional to 3,435.97, 4,741.62 and 1,864.07

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Solution

The fourth proportional to 3,435.97, 4,741.62 and 1,864.07 is: 2,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.97 : 4,741.62 = 1,864.07 : x
  2. Step 2: Convert to fraction form
    3,435.97/4,741.62 = 1,864.07/x
  3. Step 3: Cross multiply
    3,435.97x = 4,741.62 × 1,864.07
  4. Step 4: Simplify right side
    3,435.97x = 8,838,678.56
  5. Step 5: Solve for x
    x = 8,838,678.56/3,435.97
  6. Step 6: Final answer
    x = 2,572.40

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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.