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Finding the Fourth Proportional to 4,641.84, 6,404.76 and 2,962.18

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Solution

The fourth proportional to 4,641.84, 6,404.76 and 2,962.18 is: 4,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.84 : 6,404.76 = 2,962.18 : x
  2. Step 2: Convert to fraction form
    4,641.84/6,404.76 = 2,962.18/x
  3. Step 3: Cross multiply
    4,641.84x = 6,404.76 × 2,962.18
  4. Step 4: Simplify right side
    4,641.84x = 18,972,051.98
  5. Step 5: Solve for x
    x = 18,972,051.98/4,641.84
  6. Step 6: Final answer
    x = 4,087.18

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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.