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Finding the Fourth Proportional to 6,414.60, 8,852.59 and 3,582.53

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Solution

The fourth proportional to 6,414.60, 8,852.59 and 3,582.53 is: 4,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.60 : 8,852.59 = 3,582.53 : x
  2. Step 2: Convert to fraction form
    6,414.60/8,852.59 = 3,582.53/x
  3. Step 3: Cross multiply
    6,414.60x = 8,852.59 × 3,582.53
  4. Step 4: Simplify right side
    6,414.60x = 31,714,669.25
  5. Step 5: Solve for x
    x = 31,714,669.25/6,414.60
  6. Step 6: Final answer
    x = 4,944.14

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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.