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Finding the Fourth Proportional to 4,599.53, 6,344.51 and 2,806.16

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Solution

The fourth proportional to 4,599.53, 6,344.51 and 2,806.16 is: 3,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.53 : 6,344.51 = 2,806.16 : x
  2. Step 2: Convert to fraction form
    4,599.53/6,344.51 = 2,806.16/x
  3. Step 3: Cross multiply
    4,599.53x = 6,344.51 × 2,806.16
  4. Step 4: Simplify right side
    4,599.53x = 17,803,685.47
  5. Step 5: Solve for x
    x = 17,803,685.47/4,599.53
  6. Step 6: Final answer
    x = 3,870.77

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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.