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Finding the Fourth Proportional to 4,687.84, 6,464.10 and 3,556

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Solution

The fourth proportional to 4,687.84, 6,464.10 and 3,556 is: 4,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.84 : 6,464.10 = 3,556 : x
  2. Step 2: Convert to fraction form
    4,687.84/6,464.10 = 3,556/x
  3. Step 3: Cross multiply
    4,687.84x = 6,464.10 × 3,556
  4. Step 4: Simplify right side
    4,687.84x = 22,986,339.60
  5. Step 5: Solve for x
    x = 22,986,339.60/4,687.84
  6. Step 6: Final answer
    x = 4,903.40

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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.