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Finding the Fourth Proportional to 6,380.04, 8,804.50 and 3,547.46

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Solution

The fourth proportional to 6,380.04, 8,804.50 and 3,547.46 is: 4,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.04 : 8,804.50 = 3,547.46 : x
  2. Step 2: Convert to fraction form
    6,380.04/8,804.50 = 3,547.46/x
  3. Step 3: Cross multiply
    6,380.04x = 8,804.50 × 3,547.46
  4. Step 4: Simplify right side
    6,380.04x = 31,233,611.57
  5. Step 5: Solve for x
    x = 31,233,611.57/6,380.04
  6. Step 6: Final answer
    x = 4,895.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.