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Finding the Fourth Proportional to 4,641.53, 6,963.47 and 1,354.61

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Solution

The fourth proportional to 4,641.53, 6,963.47 and 1,354.61 is: 2,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.53 : 6,963.47 = 1,354.61 : x
  2. Step 2: Convert to fraction form
    4,641.53/6,963.47 = 1,354.61/x
  3. Step 3: Cross multiply
    4,641.53x = 6,963.47 × 1,354.61
  4. Step 4: Simplify right side
    4,641.53x = 9,432,744.51
  5. Step 5: Solve for x
    x = 9,432,744.51/4,641.53
  6. Step 6: Final answer
    x = 2,032.25

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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.