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Finding the Fourth Proportional to 4,333.36, 6,500.46 and 1,411.72

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Solution

The fourth proportional to 4,333.36, 6,500.46 and 1,411.72 is: 2,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.36 : 6,500.46 = 1,411.72 : x
  2. Step 2: Convert to fraction form
    4,333.36/6,500.46 = 1,411.72/x
  3. Step 3: Cross multiply
    4,333.36x = 6,500.46 × 1,411.72
  4. Step 4: Simplify right side
    4,333.36x = 9,176,829.39
  5. Step 5: Solve for x
    x = 9,176,829.39/4,333.36
  6. Step 6: Final answer
    x = 2,117.72

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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.