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Finding the Fourth Proportional to 6,357.83, 8,772.96 and 3,525.06

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Solution

The fourth proportional to 6,357.83, 8,772.96 and 3,525.06 is: 4,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.83 : 8,772.96 = 3,525.06 : x
  2. Step 2: Convert to fraction form
    6,357.83/8,772.96 = 3,525.06/x
  3. Step 3: Cross multiply
    6,357.83x = 8,772.96 × 3,525.06
  4. Step 4: Simplify right side
    6,357.83x = 30,925,210.38
  5. Step 5: Solve for x
    x = 30,925,210.38/6,357.83
  6. Step 6: Final answer
    x = 4,864.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.