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Finding the Fourth Proportional to 4,605.71, 6,355.95 and 2,509.84

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Solution

The fourth proportional to 4,605.71, 6,355.95 and 2,509.84 is: 3,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.71 : 6,355.95 = 2,509.84 : x
  2. Step 2: Convert to fraction form
    4,605.71/6,355.95 = 2,509.84/x
  3. Step 3: Cross multiply
    4,605.71x = 6,355.95 × 2,509.84
  4. Step 4: Simplify right side
    4,605.71x = 15,952,417.55
  5. Step 5: Solve for x
    x = 15,952,417.55/4,605.71
  6. Step 6: Final answer
    x = 3,463.62

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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.