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Finding the Fourth Proportional to 5,134.64, 7,085.80 and 2,776.77

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Solution

The fourth proportional to 5,134.64, 7,085.80 and 2,776.77 is: 3,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.64 : 7,085.80 = 2,776.77 : x
  2. Step 2: Convert to fraction form
    5,134.64/7,085.80 = 2,776.77/x
  3. Step 3: Cross multiply
    5,134.64x = 7,085.80 × 2,776.77
  4. Step 4: Simplify right side
    5,134.64x = 19,675,636.87
  5. Step 5: Solve for x
    x = 19,675,636.87/5,134.64
  6. Step 6: Final answer
    x = 3,831.94

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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.