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Finding the Fourth Proportional to 3,915.63, 5,869.35 and 2,434.86

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Solution

The fourth proportional to 3,915.63, 5,869.35 and 2,434.86 is: 3,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.63 : 5,869.35 = 2,434.86 : x
  2. Step 2: Convert to fraction form
    3,915.63/5,869.35 = 2,434.86/x
  3. Step 3: Cross multiply
    3,915.63x = 5,869.35 × 2,434.86
  4. Step 4: Simplify right side
    3,915.63x = 14,291,045.54
  5. Step 5: Solve for x
    x = 14,291,045.54/3,915.63
  6. Step 6: Final answer
    x = 3,649.74

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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.