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Finding the Fourth Proportional to 3,430.40, 4,734.86 and 2,368.34

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Solution

The fourth proportional to 3,430.40, 4,734.86 and 2,368.34 is: 3,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.40 : 4,734.86 = 2,368.34 : x
  2. Step 2: Convert to fraction form
    3,430.40/4,734.86 = 2,368.34/x
  3. Step 3: Cross multiply
    3,430.40x = 4,734.86 × 2,368.34
  4. Step 4: Simplify right side
    3,430.40x = 11,213,740.57
  5. Step 5: Solve for x
    x = 11,213,740.57/3,430.40
  6. Step 6: Final answer
    x = 3,268.93

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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.