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Finding the Fourth Proportional to 5,657.50, 8,482.14 and 3,804.01

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Solution

The fourth proportional to 5,657.50, 8,482.14 and 3,804.01 is: 5,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.50 : 8,482.14 = 3,804.01 : x
  2. Step 2: Convert to fraction form
    5,657.50/8,482.14 = 3,804.01/x
  3. Step 3: Cross multiply
    5,657.50x = 8,482.14 × 3,804.01
  4. Step 4: Simplify right side
    5,657.50x = 32,266,145.38
  5. Step 5: Solve for x
    x = 32,266,145.38/5,657.50
  6. Step 6: Final answer
    x = 5,703.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.