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Finding the Fourth Proportional to 5,134.61, 7,085.75 and 2,776.74

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Solution

The fourth proportional to 5,134.61, 7,085.75 and 2,776.74 is: 3,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.61 : 7,085.75 = 2,776.74 : x
  2. Step 2: Convert to fraction form
    5,134.61/7,085.75 = 2,776.74/x
  3. Step 3: Cross multiply
    5,134.61x = 7,085.75 × 2,776.74
  4. Step 4: Simplify right side
    5,134.61x = 19,675,271.57
  5. Step 5: Solve for x
    x = 19,675,271.57/5,134.61
  6. Step 6: Final answer
    x = 3,831.90

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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.