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Finding the Fourth Proportional to 4,335.91, 6,503.87 and 1,049.00

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Solution

The fourth proportional to 4,335.91, 6,503.87 and 1,049.00 is: 1,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.91 : 6,503.87 = 1,049.00 : x
  2. Step 2: Convert to fraction form
    4,335.91/6,503.87 = 1,049.00/x
  3. Step 3: Cross multiply
    4,335.91x = 6,503.87 × 1,049.00
  4. Step 4: Simplify right side
    4,335.91x = 6,822,529.73
  5. Step 5: Solve for x
    x = 6,822,529.73/4,335.91
  6. Step 6: Final answer
    x = 1,573.50

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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.