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Finding the Fourth Proportional to 4,661.66, 6,987.83 and 2,582.62

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Solution

The fourth proportional to 4,661.66, 6,987.83 and 2,582.62 is: 3,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.66 : 6,987.83 = 2,582.62 : x
  2. Step 2: Convert to fraction form
    4,661.66/6,987.83 = 2,582.62/x
  3. Step 3: Cross multiply
    4,661.66x = 6,987.83 × 2,582.62
  4. Step 4: Simplify right side
    4,661.66x = 18,046,909.51
  5. Step 5: Solve for x
    x = 18,046,909.51/4,661.66
  6. Step 6: Final answer
    x = 3,871.35

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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.