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Finding the Fourth Proportional to 4,700.64, 6,486.93 and 2,604.75

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Solution

The fourth proportional to 4,700.64, 6,486.93 and 2,604.75 is: 3,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.64 : 6,486.93 = 2,604.75 : x
  2. Step 2: Convert to fraction form
    4,700.64/6,486.93 = 2,604.75/x
  3. Step 3: Cross multiply
    4,700.64x = 6,486.93 × 2,604.75
  4. Step 4: Simplify right side
    4,700.64x = 16,896,830.92
  5. Step 5: Solve for x
    x = 16,896,830.92/4,700.64
  6. Step 6: Final answer
    x = 3,594.58

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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.