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Finding the Fourth Proportional to 5,066.35, 6,994.76 and 3,302.98

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Solution

The fourth proportional to 5,066.35, 6,994.76 and 3,302.98 is: 4,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.35 : 6,994.76 = 3,302.98 : x
  2. Step 2: Convert to fraction form
    5,066.35/6,994.76 = 3,302.98/x
  3. Step 3: Cross multiply
    5,066.35x = 6,994.76 × 3,302.98
  4. Step 4: Simplify right side
    5,066.35x = 23,103,518.38
  5. Step 5: Solve for x
    x = 23,103,518.38/5,066.35
  6. Step 6: Final answer
    x = 4,560.19

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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.