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Finding the Fourth Proportional to 5,303.61, 7,952.31 and 1,604.75

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Solution

The fourth proportional to 5,303.61, 7,952.31 and 1,604.75 is: 2,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.61 : 7,952.31 = 1,604.75 : x
  2. Step 2: Convert to fraction form
    5,303.61/7,952.31 = 1,604.75/x
  3. Step 3: Cross multiply
    5,303.61x = 7,952.31 × 1,604.75
  4. Step 4: Simplify right side
    5,303.61x = 12,761,429.71
  5. Step 5: Solve for x
    x = 12,761,429.71/5,303.61
  6. Step 6: Final answer
    x = 2,406.18

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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.