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Finding the Fourth Proportional to 4,586.34, 6,329.16 and 2,490.47

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Solution

The fourth proportional to 4,586.34, 6,329.16 and 2,490.47 is: 3,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.34 : 6,329.16 = 2,490.47 : x
  2. Step 2: Convert to fraction form
    4,586.34/6,329.16 = 2,490.47/x
  3. Step 3: Cross multiply
    4,586.34x = 6,329.16 × 2,490.47
  4. Step 4: Simplify right side
    4,586.34x = 15,762,551.46
  5. Step 5: Solve for x
    x = 15,762,551.46/4,586.34
  6. Step 6: Final answer
    x = 3,436.85

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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.