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Finding the Fourth Proportional to 4,473.95, 6,713.36 and 2,165.45

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Solution

The fourth proportional to 4,473.95, 6,713.36 and 2,165.45 is: 3,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.95 : 6,713.36 = 2,165.45 : x
  2. Step 2: Convert to fraction form
    4,473.95/6,713.36 = 2,165.45/x
  3. Step 3: Cross multiply
    4,473.95x = 6,713.36 × 2,165.45
  4. Step 4: Simplify right side
    4,473.95x = 14,537,401.02
  5. Step 5: Solve for x
    x = 14,537,401.02/4,473.95
  6. Step 6: Final answer
    x = 3,249.35

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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.