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Finding the Fourth Proportional to 4,572.12, 6,309.50 and 2,582.58

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Solution

The fourth proportional to 4,572.12, 6,309.50 and 2,582.58 is: 3,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.12 : 6,309.50 = 2,582.58 : x
  2. Step 2: Convert to fraction form
    4,572.12/6,309.50 = 2,582.58/x
  3. Step 3: Cross multiply
    4,572.12x = 6,309.50 × 2,582.58
  4. Step 4: Simplify right side
    4,572.12x = 16,294,788.51
  5. Step 5: Solve for x
    x = 16,294,788.51/4,572.12
  6. Step 6: Final answer
    x = 3,563.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.