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Finding the Fourth Proportional to 4,333.76, 6,501.31 and 1,411.38

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Solution

The fourth proportional to 4,333.76, 6,501.31 and 1,411.38 is: 2,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.76 : 6,501.31 = 1,411.38 : x
  2. Step 2: Convert to fraction form
    4,333.76/6,501.31 = 1,411.38/x
  3. Step 3: Cross multiply
    4,333.76x = 6,501.31 × 1,411.38
  4. Step 4: Simplify right side
    4,333.76x = 9,175,815.38
  5. Step 5: Solve for x
    x = 9,175,815.38/4,333.76
  6. Step 6: Final answer
    x = 2,117.29

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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.