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Finding the Fourth Proportional to 4,498.04, 6,747.10 and 1,420.04

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Solution

The fourth proportional to 4,498.04, 6,747.10 and 1,420.04 is: 2,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.04 : 6,747.10 = 1,420.04 : x
  2. Step 2: Convert to fraction form
    4,498.04/6,747.10 = 1,420.04/x
  3. Step 3: Cross multiply
    4,498.04x = 6,747.10 × 1,420.04
  4. Step 4: Simplify right side
    4,498.04x = 9,581,151.88
  5. Step 5: Solve for x
    x = 9,581,151.88/4,498.04
  6. Step 6: Final answer
    x = 2,130.07

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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.