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Finding the Fourth Proportional to 4,335.50, 6,502.84 and 1,562.06

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Solution

The fourth proportional to 4,335.50, 6,502.84 and 1,562.06 is: 2,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.50 : 6,502.84 = 1,562.06 : x
  2. Step 2: Convert to fraction form
    4,335.50/6,502.84 = 1,562.06/x
  3. Step 3: Cross multiply
    4,335.50x = 6,502.84 × 1,562.06
  4. Step 4: Simplify right side
    4,335.50x = 10,157,826.25
  5. Step 5: Solve for x
    x = 10,157,826.25/4,335.50
  6. Step 6: Final answer
    x = 2,342.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.