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Finding the Fourth Proportional to 3,907.65, 5,857.65 and 1,567.02

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Solution

The fourth proportional to 3,907.65, 5,857.65 and 1,567.02 is: 2,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.65 : 5,857.65 = 1,567.02 : x
  2. Step 2: Convert to fraction form
    3,907.65/5,857.65 = 1,567.02/x
  3. Step 3: Cross multiply
    3,907.65x = 5,857.65 × 1,567.02
  4. Step 4: Simplify right side
    3,907.65x = 9,179,054.70
  5. Step 5: Solve for x
    x = 9,179,054.70/3,907.65
  6. Step 6: Final answer
    x = 2,349.00

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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.