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Finding the Fourth Proportional to 4,695.40, 6,479.64 and 2,599.60

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Solution

The fourth proportional to 4,695.40, 6,479.64 and 2,599.60 is: 3,587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.40 : 6,479.64 = 2,599.60 : x
  2. Step 2: Convert to fraction form
    4,695.40/6,479.64 = 2,599.60/x
  3. Step 3: Cross multiply
    4,695.40x = 6,479.64 × 2,599.60
  4. Step 4: Simplify right side
    4,695.40x = 16,844,472.14
  5. Step 5: Solve for x
    x = 16,844,472.14/4,695.40
  6. Step 6: Final answer
    x = 3,587.44

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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.