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Finding the Fourth Proportional to 4,707.57, 7,061.43 and 1,420.69

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Solution

The fourth proportional to 4,707.57, 7,061.43 and 1,420.69 is: 2,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.57 : 7,061.43 = 1,420.69 : x
  2. Step 2: Convert to fraction form
    4,707.57/7,061.43 = 1,420.69/x
  3. Step 3: Cross multiply
    4,707.57x = 7,061.43 × 1,420.69
  4. Step 4: Simplify right side
    4,707.57x = 10,032,095.91
  5. Step 5: Solve for x
    x = 10,032,095.91/4,707.57
  6. Step 6: Final answer
    x = 2,131.06

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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.