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Finding the Fourth Proportional to 4,666.51, 7,004.21 and 3,430.17

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Solution

The fourth proportional to 4,666.51, 7,004.21 and 3,430.17 is: 5,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.51 : 7,004.21 = 3,430.17 : x
  2. Step 2: Convert to fraction form
    4,666.51/7,004.21 = 3,430.17/x
  3. Step 3: Cross multiply
    4,666.51x = 7,004.21 × 3,430.17
  4. Step 4: Simplify right side
    4,666.51x = 24,025,648.04
  5. Step 5: Solve for x
    x = 24,025,648.04/4,666.51
  6. Step 6: Final answer
    x = 5,148.52

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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.