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Finding the Fourth Proportional to 5,386.88, 7,436.80 and 3,617.92

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Solution

The fourth proportional to 5,386.88, 7,436.80 and 3,617.92 is: 4,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.88 : 7,436.80 = 3,617.92 : x
  2. Step 2: Convert to fraction form
    5,386.88/7,436.80 = 3,617.92/x
  3. Step 3: Cross multiply
    5,386.88x = 7,436.80 × 3,617.92
  4. Step 4: Simplify right side
    5,386.88x = 26,905,747.46
  5. Step 5: Solve for x
    x = 26,905,747.46/5,386.88
  6. Step 6: Final answer
    x = 4,994.68

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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.