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Finding the Fourth Proportional to 4,612.61, 6,373.74 and 3,284.00

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Solution

The fourth proportional to 4,612.61, 6,373.74 and 3,284.00 is: 4,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.61 : 6,373.74 = 3,284.00 : x
  2. Step 2: Convert to fraction form
    4,612.61/6,373.74 = 3,284.00/x
  3. Step 3: Cross multiply
    4,612.61x = 6,373.74 × 3,284.00
  4. Step 4: Simplify right side
    4,612.61x = 20,931,330.29
  5. Step 5: Solve for x
    x = 20,931,330.29/4,612.61
  6. Step 6: Final answer
    x = 4,537.85

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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.