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Finding the Fourth Proportional to 4,707.75, 6,492.92 and 4,001.93

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Solution

The fourth proportional to 4,707.75, 6,492.92 and 4,001.93 is: 5,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.75 : 6,492.92 = 4,001.93 : x
  2. Step 2: Convert to fraction form
    4,707.75/6,492.92 = 4,001.93/x
  3. Step 3: Cross multiply
    4,707.75x = 6,492.92 × 4,001.93
  4. Step 4: Simplify right side
    4,707.75x = 25,984,211.34
  5. Step 5: Solve for x
    x = 25,984,211.34/4,707.75
  6. Step 6: Final answer
    x = 5,519.45

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