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Finding the Fourth Proportional to 5,586.71, 7,710.53 and 3,462.62

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Solution

The fourth proportional to 5,586.71, 7,710.53 and 3,462.62 is: 4,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.71 : 7,710.53 = 3,462.62 : x
  2. Step 2: Convert to fraction form
    5,586.71/7,710.53 = 3,462.62/x
  3. Step 3: Cross multiply
    5,586.71x = 7,710.53 × 3,462.62
  4. Step 4: Simplify right side
    5,586.71x = 26,698,579.52
  5. Step 5: Solve for x
    x = 26,698,579.52/5,586.71
  6. Step 6: Final answer
    x = 4,778.95

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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.