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Finding the Fourth Proportional to 6,380.42, 8,804.70 and 3,547.98

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Solution

The fourth proportional to 6,380.42, 8,804.70 and 3,547.98 is: 4,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.42 : 8,804.70 = 3,547.98 : x
  2. Step 2: Convert to fraction form
    6,380.42/8,804.70 = 3,547.98/x
  3. Step 3: Cross multiply
    6,380.42x = 8,804.70 × 3,547.98
  4. Step 4: Simplify right side
    6,380.42x = 31,238,899.51
  5. Step 5: Solve for x
    x = 31,238,899.51/6,380.42
  6. Step 6: Final answer
    x = 4,896.06

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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.