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Finding the Fourth Proportional to 6,465.44, 8,921.76 and 3,670.40

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Solution

The fourth proportional to 6,465.44, 8,921.76 and 3,670.40 is: 5,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.44 : 8,921.76 = 3,670.40 : x
  2. Step 2: Convert to fraction form
    6,465.44/8,921.76 = 3,670.40/x
  3. Step 3: Cross multiply
    6,465.44x = 8,921.76 × 3,670.40
  4. Step 4: Simplify right side
    6,465.44x = 32,746,427.90
  5. Step 5: Solve for x
    x = 32,746,427.90/6,465.44
  6. Step 6: Final answer
    x = 5,064.84

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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.