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Finding the Fourth Proportional to 3,812.58, 5,718.68 and 1,590.50

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Solution

The fourth proportional to 3,812.58, 5,718.68 and 1,590.50 is: 2,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.58 : 5,718.68 = 1,590.50 : x
  2. Step 2: Convert to fraction form
    3,812.58/5,718.68 = 1,590.50/x
  3. Step 3: Cross multiply
    3,812.58x = 5,718.68 × 1,590.50
  4. Step 4: Simplify right side
    3,812.58x = 9,095,531.95
  5. Step 5: Solve for x
    x = 9,095,531.95/3,812.58
  6. Step 6: Final answer
    x = 2,385.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.