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Finding the Fourth Proportional to 6,904.60, 10,347.24 and 3,735.20

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Solution

The fourth proportional to 6,904.60, 10,347.24 and 3,735.20 is: 5,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.60 : 10,347.24 = 3,735.20 : x
  2. Step 2: Convert to fraction form
    6,904.60/10,347.24 = 3,735.20/x
  3. Step 3: Cross multiply
    6,904.60x = 10,347.24 × 3,735.20
  4. Step 4: Simplify right side
    6,904.60x = 38,648,959.11
  5. Step 5: Solve for x
    x = 38,648,959.11/6,904.60
  6. Step 6: Final answer
    x = 5,597.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.