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Finding the Fourth Proportional to 3,307.32, 4,531.07 and 3,182.78

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Solution

The fourth proportional to 3,307.32, 4,531.07 and 3,182.78 is: 4,360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.32 : 4,531.07 = 3,182.78 : x
  2. Step 2: Convert to fraction form
    3,307.32/4,531.07 = 3,182.78/x
  3. Step 3: Cross multiply
    3,307.32x = 4,531.07 × 3,182.78
  4. Step 4: Simplify right side
    3,307.32x = 14,421,360.41
  5. Step 5: Solve for x
    x = 14,421,360.41/3,307.32
  6. Step 6: Final answer
    x = 4,360.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.