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Finding the Fourth Proportional to 4,497.66, 6,746.49 and 2,032.02

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Solution

The fourth proportional to 4,497.66, 6,746.49 and 2,032.02 is: 3,048.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.66 : 6,746.49 = 2,032.02 : x
  2. Step 2: Convert to fraction form
    4,497.66/6,746.49 = 2,032.02/x
  3. Step 3: Cross multiply
    4,497.66x = 6,746.49 × 2,032.02
  4. Step 4: Simplify right side
    4,497.66x = 13,709,002.61
  5. Step 5: Solve for x
    x = 13,709,002.61/4,497.66
  6. Step 6: Final answer
    x = 3,048.03

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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.