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Finding the Fourth Proportional to 4,701.68, 6,488.48 and 2,605.64

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Solution

The fourth proportional to 4,701.68, 6,488.48 and 2,605.64 is: 3,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.68 : 6,488.48 = 2,605.64 : x
  2. Step 2: Convert to fraction form
    4,701.68/6,488.48 = 2,605.64/x
  3. Step 3: Cross multiply
    4,701.68x = 6,488.48 × 2,605.64
  4. Step 4: Simplify right side
    4,701.68x = 16,906,643.03
  5. Step 5: Solve for x
    x = 16,906,643.03/4,701.68
  6. Step 6: Final answer
    x = 3,595.87

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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.