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Finding the Fourth Proportional to 4,283.16, 6,425.57 and 1,509.92

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Solution

The fourth proportional to 4,283.16, 6,425.57 and 1,509.92 is: 2,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.16 : 6,425.57 = 1,509.92 : x
  2. Step 2: Convert to fraction form
    4,283.16/6,425.57 = 1,509.92/x
  3. Step 3: Cross multiply
    4,283.16x = 6,425.57 × 1,509.92
  4. Step 4: Simplify right side
    4,283.16x = 9,702,089.10
  5. Step 5: Solve for x
    x = 9,702,089.10/4,283.16
  6. Step 6: Final answer
    x = 2,265.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.