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Finding the Fourth Proportional to 3,670.48, 5,507.96 and 1,590.08

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Solution

The fourth proportional to 3,670.48, 5,507.96 and 1,590.08 is: 2,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.48 : 5,507.96 = 1,590.08 : x
  2. Step 2: Convert to fraction form
    3,670.48/5,507.96 = 1,590.08/x
  3. Step 3: Cross multiply
    3,670.48x = 5,507.96 × 1,590.08
  4. Step 4: Simplify right side
    3,670.48x = 8,758,097.04
  5. Step 5: Solve for x
    x = 8,758,097.04/3,670.48
  6. Step 6: Final answer
    x = 2,386.09

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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.