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Finding the Fourth Proportional to 5,557.74, 8,332.66 and 2,782.42

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Solution

The fourth proportional to 5,557.74, 8,332.66 and 2,782.42 is: 4,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.74 : 8,332.66 = 2,782.42 : x
  2. Step 2: Convert to fraction form
    5,557.74/8,332.66 = 2,782.42/x
  3. Step 3: Cross multiply
    5,557.74x = 8,332.66 × 2,782.42
  4. Step 4: Simplify right side
    5,557.74x = 23,184,959.84
  5. Step 5: Solve for x
    x = 23,184,959.84/5,557.74
  6. Step 6: Final answer
    x = 4,171.65

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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.