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Finding the Fourth Proportional to 4,152.51, 5,730.22 and 2,359.95

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Solution

The fourth proportional to 4,152.51, 5,730.22 and 2,359.95 is: 3,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.51 : 5,730.22 = 2,359.95 : x
  2. Step 2: Convert to fraction form
    4,152.51/5,730.22 = 2,359.95/x
  3. Step 3: Cross multiply
    4,152.51x = 5,730.22 × 2,359.95
  4. Step 4: Simplify right side
    4,152.51x = 13,523,032.69
  5. Step 5: Solve for x
    x = 13,523,032.69/4,152.51
  6. Step 6: Final answer
    x = 3,256.59

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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.