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Finding the Fourth Proportional to 3,655.86, 5,483.65 and 1,023.36

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Solution

The fourth proportional to 3,655.86, 5,483.65 and 1,023.36 is: 1,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.86 : 5,483.65 = 1,023.36 : x
  2. Step 2: Convert to fraction form
    3,655.86/5,483.65 = 1,023.36/x
  3. Step 3: Cross multiply
    3,655.86x = 5,483.65 × 1,023.36
  4. Step 4: Simplify right side
    3,655.86x = 5,611,748.06
  5. Step 5: Solve for x
    x = 5,611,748.06/3,655.86
  6. Step 6: Final answer
    x = 1,535.00

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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.