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Finding the Fourth Proportional to 4,937.16, 6,800.48 and 3,442.40

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Solution

The fourth proportional to 4,937.16, 6,800.48 and 3,442.40 is: 4,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.16 : 6,800.48 = 3,442.40 : x
  2. Step 2: Convert to fraction form
    4,937.16/6,800.48 = 3,442.40/x
  3. Step 3: Cross multiply
    4,937.16x = 6,800.48 × 3,442.40
  4. Step 4: Simplify right side
    4,937.16x = 23,409,972.35
  5. Step 5: Solve for x
    x = 23,409,972.35/4,937.16
  6. Step 6: Final answer
    x = 4,741.59

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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.