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Finding the Fourth Proportional to 4,707.24, 7,061.70 and 2,110.20

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Solution

The fourth proportional to 4,707.24, 7,061.70 and 2,110.20 is: 3,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.24 : 7,061.70 = 2,110.20 : x
  2. Step 2: Convert to fraction form
    4,707.24/7,061.70 = 2,110.20/x
  3. Step 3: Cross multiply
    4,707.24x = 7,061.70 × 2,110.20
  4. Step 4: Simplify right side
    4,707.24x = 14,901,599.34
  5. Step 5: Solve for x
    x = 14,901,599.34/4,707.24
  6. Step 6: Final answer
    x = 3,165.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.