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Finding the Fourth Proportional to 4,687.61, 6,455.77 and 4,585.55

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Solution

The fourth proportional to 4,687.61, 6,455.77 and 4,585.55 is: 6,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.61 : 6,455.77 = 4,585.55 : x
  2. Step 2: Convert to fraction form
    4,687.61/6,455.77 = 4,585.55/x
  3. Step 3: Cross multiply
    4,687.61x = 6,455.77 × 4,585.55
  4. Step 4: Simplify right side
    4,687.61x = 29,603,212.38
  5. Step 5: Solve for x
    x = 29,603,212.38/4,687.61
  6. Step 6: Final answer
    x = 6,315.21

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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.