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Finding the Fourth Proportional to 4,731.92, 6,530.12 and 3,053.40

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Solution

The fourth proportional to 4,731.92, 6,530.12 and 3,053.40 is: 4,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.92 : 6,530.12 = 3,053.40 : x
  2. Step 2: Convert to fraction form
    4,731.92/6,530.12 = 3,053.40/x
  3. Step 3: Cross multiply
    4,731.92x = 6,530.12 × 3,053.40
  4. Step 4: Simplify right side
    4,731.92x = 19,939,053.14
  5. Step 5: Solve for x
    x = 19,939,053.14/4,731.92
  6. Step 6: Final answer
    x = 4,213.74

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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.