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Finding the Fourth Proportional to 3,695.40, 5,099.62 and 2,124

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Solution

The fourth proportional to 3,695.40, 5,099.62 and 2,124 is: 2,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.40 : 5,099.62 = 2,124 : x
  2. Step 2: Convert to fraction form
    3,695.40/5,099.62 = 2,124/x
  3. Step 3: Cross multiply
    3,695.40x = 5,099.62 × 2,124
  4. Step 4: Simplify right side
    3,695.40x = 10,831,592.88
  5. Step 5: Solve for x
    x = 10,831,592.88/3,695.40
  6. Step 6: Final answer
    x = 2,931.10

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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.