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Finding the Fourth Proportional to 5,831.60, 8,042.66 and 4,927.54

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Solution

The fourth proportional to 5,831.60, 8,042.66 and 4,927.54 is: 6,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.60 : 8,042.66 = 4,927.54 : x
  2. Step 2: Convert to fraction form
    5,831.60/8,042.66 = 4,927.54/x
  3. Step 3: Cross multiply
    5,831.60x = 8,042.66 × 4,927.54
  4. Step 4: Simplify right side
    5,831.60x = 39,630,532.75
  5. Step 5: Solve for x
    x = 39,630,532.75/5,831.60
  6. Step 6: Final answer
    x = 6,795.82

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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.