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Finding the Fourth Proportional to 4,671.66, 6,459.20 and 4,465.11

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Solution

The fourth proportional to 4,671.66, 6,459.20 and 4,465.11 is: 6,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.66 : 6,459.20 = 4,465.11 : x
  2. Step 2: Convert to fraction form
    4,671.66/6,459.20 = 4,465.11/x
  3. Step 3: Cross multiply
    4,671.66x = 6,459.20 × 4,465.11
  4. Step 4: Simplify right side
    4,671.66x = 28,841,016.19
  5. Step 5: Solve for x
    x = 28,841,016.19/4,671.66
  6. Step 6: Final answer
    x = 6,173.61

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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.