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Finding the Fourth Proportional to 4,287.30, 5,916.36 and 2,424.30

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Solution

The fourth proportional to 4,287.30, 5,916.36 and 2,424.30 is: 3,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.30 : 5,916.36 = 2,424.30 : x
  2. Step 2: Convert to fraction form
    4,287.30/5,916.36 = 2,424.30/x
  3. Step 3: Cross multiply
    4,287.30x = 5,916.36 × 2,424.30
  4. Step 4: Simplify right side
    4,287.30x = 14,343,031.55
  5. Step 5: Solve for x
    x = 14,343,031.55/4,287.30
  6. Step 6: Final answer
    x = 3,345.47

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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.