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Finding the Fourth Proportional to 4,333.48, 6,501.76 and 1,411.78

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Solution

The fourth proportional to 4,333.48, 6,501.76 and 1,411.78 is: 2,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.48 : 6,501.76 = 1,411.78 : x
  2. Step 2: Convert to fraction form
    4,333.48/6,501.76 = 1,411.78/x
  3. Step 3: Cross multiply
    4,333.48x = 6,501.76 × 1,411.78
  4. Step 4: Simplify right side
    4,333.48x = 9,179,054.73
  5. Step 5: Solve for x
    x = 9,179,054.73/4,333.48
  6. Step 6: Final answer
    x = 2,118.17

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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.