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Finding the Fourth Proportional to 4,701.64, 6,488.20 and 2,605.64

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Solution

The fourth proportional to 4,701.64, 6,488.20 and 2,605.64 is: 3,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.64 : 6,488.20 = 2,605.64 : x
  2. Step 2: Convert to fraction form
    4,701.64/6,488.20 = 2,605.64/x
  3. Step 3: Cross multiply
    4,701.64x = 6,488.20 × 2,605.64
  4. Step 4: Simplify right side
    4,701.64x = 16,905,913.45
  5. Step 5: Solve for x
    x = 16,905,913.45/4,701.64
  6. Step 6: Final answer
    x = 3,595.75

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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.