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Finding the Fourth Proportional to 5,752.37, 8,628.69 and 1,856.63

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Solution

The fourth proportional to 5,752.37, 8,628.69 and 1,856.63 is: 2,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.37 : 8,628.69 = 1,856.63 : x
  2. Step 2: Convert to fraction form
    5,752.37/8,628.69 = 1,856.63/x
  3. Step 3: Cross multiply
    5,752.37x = 8,628.69 × 1,856.63
  4. Step 4: Simplify right side
    5,752.37x = 16,020,284.71
  5. Step 5: Solve for x
    x = 16,020,284.71/5,752.37
  6. Step 6: Final answer
    x = 2,784.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.