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Finding the Fourth Proportional to 4,670.98, 6,445.69 and 2,902.57

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Solution

The fourth proportional to 4,670.98, 6,445.69 and 2,902.57 is: 4,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.98 : 6,445.69 = 2,902.57 : x
  2. Step 2: Convert to fraction form
    4,670.98/6,445.69 = 2,902.57/x
  3. Step 3: Cross multiply
    4,670.98x = 6,445.69 × 2,902.57
  4. Step 4: Simplify right side
    4,670.98x = 18,709,066.42
  5. Step 5: Solve for x
    x = 18,709,066.42/4,670.98
  6. Step 6: Final answer
    x = 4,005.38

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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.