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Finding the Fourth Proportional to 3,655.86, 5,484.32 and 1,156.20

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Solution

The fourth proportional to 3,655.86, 5,484.32 and 1,156.20 is: 1,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.86 : 5,484.32 = 1,156.20 : x
  2. Step 2: Convert to fraction form
    3,655.86/5,484.32 = 1,156.20/x
  3. Step 3: Cross multiply
    3,655.86x = 5,484.32 × 1,156.20
  4. Step 4: Simplify right side
    3,655.86x = 6,340,970.78
  5. Step 5: Solve for x
    x = 6,340,970.78/3,655.86
  6. Step 6: Final answer
    x = 1,734.47

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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.