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Finding the Fourth Proportional to 4,333.69, 6,499.86 and 1,411.98

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Solution

The fourth proportional to 4,333.69, 6,499.86 and 1,411.98 is: 2,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.69 : 6,499.86 = 1,411.98 : x
  2. Step 2: Convert to fraction form
    4,333.69/6,499.86 = 1,411.98/x
  3. Step 3: Cross multiply
    4,333.69x = 6,499.86 × 1,411.98
  4. Step 4: Simplify right side
    4,333.69x = 9,177,672.32
  5. Step 5: Solve for x
    x = 9,177,672.32/4,333.69
  6. Step 6: Final answer
    x = 2,117.75

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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.