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Finding the Fourth Proportional to 5,831.97, 8,048.35 and 4,038.93

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Solution

The fourth proportional to 5,831.97, 8,048.35 and 4,038.93 is: 5,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.97 : 8,048.35 = 4,038.93 : x
  2. Step 2: Convert to fraction form
    5,831.97/8,048.35 = 4,038.93/x
  3. Step 3: Cross multiply
    5,831.97x = 8,048.35 × 4,038.93
  4. Step 4: Simplify right side
    5,831.97x = 32,506,727.31
  5. Step 5: Solve for x
    x = 32,506,727.31/5,831.97
  6. Step 6: Final answer
    x = 5,573.89

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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.