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Finding the Fourth Proportional to 3,122.64, 4,653.90 and 3,117.78

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Solution

The fourth proportional to 3,122.64, 4,653.90 and 3,117.78 is: 4,646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.64 : 4,653.90 = 3,117.78 : x
  2. Step 2: Convert to fraction form
    3,122.64/4,653.90 = 3,117.78/x
  3. Step 3: Cross multiply
    3,122.64x = 4,653.90 × 3,117.78
  4. Step 4: Simplify right side
    3,122.64x = 14,509,836.34
  5. Step 5: Solve for x
    x = 14,509,836.34/3,122.64
  6. Step 6: Final answer
    x = 4,646.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.