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Finding the Fourth Proportional to 5,948.59, 8,209.93 and 3,430.21

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Solution

The fourth proportional to 5,948.59, 8,209.93 and 3,430.21 is: 4,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.59 : 8,209.93 = 3,430.21 : x
  2. Step 2: Convert to fraction form
    5,948.59/8,209.93 = 3,430.21/x
  3. Step 3: Cross multiply
    5,948.59x = 8,209.93 × 3,430.21
  4. Step 4: Simplify right side
    5,948.59x = 28,161,776.71
  5. Step 5: Solve for x
    x = 28,161,776.71/5,948.59
  6. Step 6: Final answer
    x = 4,734.19

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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.