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Finding the Fourth Proportional to 4,483.98, 6,727.77 and 1,564.32

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Solution

The fourth proportional to 4,483.98, 6,727.77 and 1,564.32 is: 2,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.98 : 6,727.77 = 1,564.32 : x
  2. Step 2: Convert to fraction form
    4,483.98/6,727.77 = 1,564.32/x
  3. Step 3: Cross multiply
    4,483.98x = 6,727.77 × 1,564.32
  4. Step 4: Simplify right side
    4,483.98x = 10,524,385.17
  5. Step 5: Solve for x
    x = 10,524,385.17/4,483.98
  6. Step 6: Final answer
    x = 2,347.11

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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.