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Finding the Fourth Proportional to 5,831.96, 8,029.50 and 5,434.52

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Solution

The fourth proportional to 5,831.96, 8,029.50 and 5,434.52 is: 7,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.96 : 8,029.50 = 5,434.52 : x
  2. Step 2: Convert to fraction form
    5,831.96/8,029.50 = 5,434.52/x
  3. Step 3: Cross multiply
    5,831.96x = 8,029.50 × 5,434.52
  4. Step 4: Simplify right side
    5,831.96x = 43,636,478.34
  5. Step 5: Solve for x
    x = 43,636,478.34/5,831.96
  6. Step 6: Final answer
    x = 7,482.30

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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.