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Finding the Fourth Proportional to 4,303.61, 6,447.15 and 3,314.92

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Solution

The fourth proportional to 4,303.61, 6,447.15 and 3,314.92 is: 4,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.61 : 6,447.15 = 3,314.92 : x
  2. Step 2: Convert to fraction form
    4,303.61/6,447.15 = 3,314.92/x
  3. Step 3: Cross multiply
    4,303.61x = 6,447.15 × 3,314.92
  4. Step 4: Simplify right side
    4,303.61x = 21,371,780.25
  5. Step 5: Solve for x
    x = 21,371,780.25/4,303.61
  6. Step 6: Final answer
    x = 4,966.02

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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.