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Finding the Fourth Proportional to 5,225.69, 7,831.16 and 2,886.74

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Solution

The fourth proportional to 5,225.69, 7,831.16 and 2,886.74 is: 4,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.69 : 7,831.16 = 2,886.74 : x
  2. Step 2: Convert to fraction form
    5,225.69/7,831.16 = 2,886.74/x
  3. Step 3: Cross multiply
    5,225.69x = 7,831.16 × 2,886.74
  4. Step 4: Simplify right side
    5,225.69x = 22,606,522.82
  5. Step 5: Solve for x
    x = 22,606,522.82/5,225.69
  6. Step 6: Final answer
    x = 4,326.04

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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.