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Finding the Fourth Proportional to 3,407.76, 4,696.56 and 3,129.12

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Solution

The fourth proportional to 3,407.76, 4,696.56 and 3,129.12 is: 4,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.76 : 4,696.56 = 3,129.12 : x
  2. Step 2: Convert to fraction form
    3,407.76/4,696.56 = 3,129.12/x
  3. Step 3: Cross multiply
    3,407.76x = 4,696.56 × 3,129.12
  4. Step 4: Simplify right side
    3,407.76x = 14,696,099.83
  5. Step 5: Solve for x
    x = 14,696,099.83/3,407.76
  6. Step 6: Final answer
    x = 4,312.54

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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.