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Finding the Fourth Proportional to 4,707.16, 7,059.04 and 1,419.23

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Solution

The fourth proportional to 4,707.16, 7,059.04 and 1,419.23 is: 2,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.16 : 7,059.04 = 1,419.23 : x
  2. Step 2: Convert to fraction form
    4,707.16/7,059.04 = 1,419.23/x
  3. Step 3: Cross multiply
    4,707.16x = 7,059.04 × 1,419.23
  4. Step 4: Simplify right side
    4,707.16x = 10,018,401.34
  5. Step 5: Solve for x
    x = 10,018,401.34/4,707.16
  6. Step 6: Final answer
    x = 2,128.33

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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.