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Finding the Fourth Proportional to 4,498.16, 6,737.94 and 4,170.08

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Solution

The fourth proportional to 4,498.16, 6,737.94 and 4,170.08 is: 6,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.16 : 6,737.94 = 4,170.08 : x
  2. Step 2: Convert to fraction form
    4,498.16/6,737.94 = 4,170.08/x
  3. Step 3: Cross multiply
    4,498.16x = 6,737.94 × 4,170.08
  4. Step 4: Simplify right side
    4,498.16x = 28,097,748.84
  5. Step 5: Solve for x
    x = 28,097,748.84/4,498.16
  6. Step 6: Final answer
    x = 6,246.50

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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.