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Finding the Fourth Proportional to 4,283.57, 6,424.64 and 1,509.59

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Solution

The fourth proportional to 4,283.57, 6,424.64 and 1,509.59 is: 2,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.57 : 6,424.64 = 1,509.59 : x
  2. Step 2: Convert to fraction form
    4,283.57/6,424.64 = 1,509.59/x
  3. Step 3: Cross multiply
    4,283.57x = 6,424.64 × 1,509.59
  4. Step 4: Simplify right side
    4,283.57x = 9,698,572.30
  5. Step 5: Solve for x
    x = 9,698,572.30/4,283.57
  6. Step 6: Final answer
    x = 2,264.13

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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.