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Finding the Fourth Proportional to 5,831.40, 8,702.28 and 5,208.60

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Solution

The fourth proportional to 5,831.40, 8,702.28 and 5,208.60 is: 7,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.40 : 8,702.28 = 5,208.60 : x
  2. Step 2: Convert to fraction form
    5,831.40/8,702.28 = 5,208.60/x
  3. Step 3: Cross multiply
    5,831.40x = 8,702.28 × 5,208.60
  4. Step 4: Simplify right side
    5,831.40x = 45,326,695.61
  5. Step 5: Solve for x
    x = 45,326,695.61/5,831.40
  6. Step 6: Final answer
    x = 7,772.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.