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Finding the Fourth Proportional to 4,328.64, 5,973.54 and 2,339.22

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Solution

The fourth proportional to 4,328.64, 5,973.54 and 2,339.22 is: 3,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.64 : 5,973.54 = 2,339.22 : x
  2. Step 2: Convert to fraction form
    4,328.64/5,973.54 = 2,339.22/x
  3. Step 3: Cross multiply
    4,328.64x = 5,973.54 × 2,339.22
  4. Step 4: Simplify right side
    4,328.64x = 13,973,424.24
  5. Step 5: Solve for x
    x = 13,973,424.24/4,328.64
  6. Step 6: Final answer
    x = 3,228.13

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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.