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Finding the Fourth Proportional to 3,656.59, 5,483.88 and 1,023.93

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Solution

The fourth proportional to 3,656.59, 5,483.88 and 1,023.93 is: 1,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.59 : 5,483.88 = 1,023.93 : x
  2. Step 2: Convert to fraction form
    3,656.59/5,483.88 = 1,023.93/x
  3. Step 3: Cross multiply
    3,656.59x = 5,483.88 × 1,023.93
  4. Step 4: Simplify right side
    3,656.59x = 5,615,105.14
  5. Step 5: Solve for x
    x = 5,615,105.14/3,656.59
  6. Step 6: Final answer
    x = 1,535.61

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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.