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Finding the Fourth Proportional to 3,165.54, 4,728.57 and 2,345.42

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Solution

The fourth proportional to 3,165.54, 4,728.57 and 2,345.42 is: 3,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.54 : 4,728.57 = 2,345.42 : x
  2. Step 2: Convert to fraction form
    3,165.54/4,728.57 = 2,345.42/x
  3. Step 3: Cross multiply
    3,165.54x = 4,728.57 × 2,345.42
  4. Step 4: Simplify right side
    3,165.54x = 11,090,459.01
  5. Step 5: Solve for x
    x = 11,090,459.01/3,165.54
  6. Step 6: Final answer
    x = 3,503.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.