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Finding the Fourth Proportional to 5,368, 7,406.16 and 3,099.05

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Solution

The fourth proportional to 5,368, 7,406.16 and 3,099.05 is: 4,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368 : 7,406.16 = 3,099.05 : x
  2. Step 2: Convert to fraction form
    5,368/7,406.16 = 3,099.05/x
  3. Step 3: Cross multiply
    5,368x = 7,406.16 × 3,099.05
  4. Step 4: Simplify right side
    5,368x = 22,952,060.15
  5. Step 5: Solve for x
    x = 22,952,060.15/5,368
  6. Step 6: Final answer
    x = 4,275.72

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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.