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Finding the Fourth Proportional to 4,332.42, 6,498.90 and 1,735.02

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Solution

The fourth proportional to 4,332.42, 6,498.90 and 1,735.02 is: 2,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.42 : 6,498.90 = 1,735.02 : x
  2. Step 2: Convert to fraction form
    4,332.42/6,498.90 = 1,735.02/x
  3. Step 3: Cross multiply
    4,332.42x = 6,498.90 × 1,735.02
  4. Step 4: Simplify right side
    4,332.42x = 11,275,721.48
  5. Step 5: Solve for x
    x = 11,275,721.48/4,332.42
  6. Step 6: Final answer
    x = 2,602.64

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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.