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Finding the Fourth Proportional to 4,682.60, 6,461.52 and 2,586.59

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Solution

The fourth proportional to 4,682.60, 6,461.52 and 2,586.59 is: 3,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.60 : 6,461.52 = 2,586.59 : x
  2. Step 2: Convert to fraction form
    4,682.60/6,461.52 = 2,586.59/x
  3. Step 3: Cross multiply
    4,682.60x = 6,461.52 × 2,586.59
  4. Step 4: Simplify right side
    4,682.60x = 16,713,303.02
  5. Step 5: Solve for x
    x = 16,713,303.02/4,682.60
  6. Step 6: Final answer
    x = 3,569.24

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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.