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Finding the Fourth Proportional to 4,145.58, 5,719.50 and 2,817

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Solution

The fourth proportional to 4,145.58, 5,719.50 and 2,817 is: 3,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.58 : 5,719.50 = 2,817 : x
  2. Step 2: Convert to fraction form
    4,145.58/5,719.50 = 2,817/x
  3. Step 3: Cross multiply
    4,145.58x = 5,719.50 × 2,817
  4. Step 4: Simplify right side
    4,145.58x = 16,111,831.50
  5. Step 5: Solve for x
    x = 16,111,831.50/4,145.58
  6. Step 6: Final answer
    x = 3,886.51

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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.