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Finding the Fourth Proportional to 6,484.53, 8,948.51 and 3,966.68

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Solution

The fourth proportional to 6,484.53, 8,948.51 and 3,966.68 is: 5,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.53 : 8,948.51 = 3,966.68 : x
  2. Step 2: Convert to fraction form
    6,484.53/8,948.51 = 3,966.68/x
  3. Step 3: Cross multiply
    6,484.53x = 8,948.51 × 3,966.68
  4. Step 4: Simplify right side
    6,484.53x = 35,495,811.07
  5. Step 5: Solve for x
    x = 35,495,811.07/6,484.53
  6. Step 6: Final answer
    x = 5,473.92

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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.