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Finding the Fourth Proportional to 4,641.84, 6,962.08 and 1,354.05

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Solution

The fourth proportional to 4,641.84, 6,962.08 and 1,354.05 is: 2,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.84 : 6,962.08 = 1,354.05 : x
  2. Step 2: Convert to fraction form
    4,641.84/6,962.08 = 1,354.05/x
  3. Step 3: Cross multiply
    4,641.84x = 6,962.08 × 1,354.05
  4. Step 4: Simplify right side
    4,641.84x = 9,426,997.65
  5. Step 5: Solve for x
    x = 9,426,997.65/4,641.84
  6. Step 6: Final answer
    x = 2,030.88

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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.