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Finding the Fourth Proportional to 4,693.64, 6,477.20 and 2,597.76

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Solution

The fourth proportional to 4,693.64, 6,477.20 and 2,597.76 is: 3,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.64 : 6,477.20 = 2,597.76 : x
  2. Step 2: Convert to fraction form
    4,693.64/6,477.20 = 2,597.76/x
  3. Step 3: Cross multiply
    4,693.64x = 6,477.20 × 2,597.76
  4. Step 4: Simplify right side
    4,693.64x = 16,826,211.07
  5. Step 5: Solve for x
    x = 16,826,211.07/4,693.64
  6. Step 6: Final answer
    x = 3,584.90

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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.