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Finding the Fourth Proportional to 3,435.98, 4,741.70 and 1,864.11

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Solution

The fourth proportional to 3,435.98, 4,741.70 and 1,864.11 is: 2,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.98 : 4,741.70 = 1,864.11 : x
  2. Step 2: Convert to fraction form
    3,435.98/4,741.70 = 1,864.11/x
  3. Step 3: Cross multiply
    3,435.98x = 4,741.70 × 1,864.11
  4. Step 4: Simplify right side
    3,435.98x = 8,839,041.07
  5. Step 5: Solve for x
    x = 8,839,041.07/3,435.98
  6. Step 6: Final answer
    x = 2,572.49

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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.