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Finding the Fourth Proportional to 3,783.04, 5,675.64 and 1,590.64

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Solution

The fourth proportional to 3,783.04, 5,675.64 and 1,590.64 is: 2,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.04 : 5,675.64 = 1,590.64 : x
  2. Step 2: Convert to fraction form
    3,783.04/5,675.64 = 1,590.64/x
  3. Step 3: Cross multiply
    3,783.04x = 5,675.64 × 1,590.64
  4. Step 4: Simplify right side
    3,783.04x = 9,027,900.01
  5. Step 5: Solve for x
    x = 9,027,900.01/3,783.04
  6. Step 6: Final answer
    x = 2,386.41

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