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Finding the Fourth Proportional to 6,312.04, 8,710.49 and 3,659.69

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Solution

The fourth proportional to 6,312.04, 8,710.49 and 3,659.69 is: 5,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.04 : 8,710.49 = 3,659.69 : x
  2. Step 2: Convert to fraction form
    6,312.04/8,710.49 = 3,659.69/x
  3. Step 3: Cross multiply
    6,312.04x = 8,710.49 × 3,659.69
  4. Step 4: Simplify right side
    6,312.04x = 31,877,724.07
  5. Step 5: Solve for x
    x = 31,877,724.07/6,312.04
  6. Step 6: Final answer
    x = 5,050.31

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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.