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Finding the Fourth Proportional to 4,333.66, 6,498.02 and 1,411.18

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Solution

The fourth proportional to 4,333.66, 6,498.02 and 1,411.18 is: 2,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.66 : 6,498.02 = 1,411.18 : x
  2. Step 2: Convert to fraction form
    4,333.66/6,498.02 = 1,411.18/x
  3. Step 3: Cross multiply
    4,333.66x = 6,498.02 × 1,411.18
  4. Step 4: Simplify right side
    4,333.66x = 9,169,875.86
  5. Step 5: Solve for x
    x = 9,169,875.86/4,333.66
  6. Step 6: Final answer
    x = 2,115.97

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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.