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Finding the Fourth Proportional to 3,658.65, 5,046.75 and 2,594.93

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Solution

The fourth proportional to 3,658.65, 5,046.75 and 2,594.93 is: 3,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.65 : 5,046.75 = 2,594.93 : x
  2. Step 2: Convert to fraction form
    3,658.65/5,046.75 = 2,594.93/x
  3. Step 3: Cross multiply
    3,658.65x = 5,046.75 × 2,594.93
  4. Step 4: Simplify right side
    3,658.65x = 13,095,937.74
  5. Step 5: Solve for x
    x = 13,095,937.74/3,658.65
  6. Step 6: Final answer
    x = 3,579.45

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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.