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Finding the Fourth Proportional to 6,430.40, 8,874.38 and 3,598.02

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Solution

The fourth proportional to 6,430.40, 8,874.38 and 3,598.02 is: 4,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.40 : 8,874.38 = 3,598.02 : x
  2. Step 2: Convert to fraction form
    6,430.40/8,874.38 = 3,598.02/x
  3. Step 3: Cross multiply
    6,430.40x = 8,874.38 × 3,598.02
  4. Step 4: Simplify right side
    6,430.40x = 31,930,178.74
  5. Step 5: Solve for x
    x = 31,930,178.74/6,430.40
  6. Step 6: Final answer
    x = 4,965.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.