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Finding the Fourth Proportional to 4,187.52, 6,282.72 and 1,590.84

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Solution

The fourth proportional to 4,187.52, 6,282.72 and 1,590.84 is: 2,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.52 : 6,282.72 = 1,590.84 : x
  2. Step 2: Convert to fraction form
    4,187.52/6,282.72 = 1,590.84/x
  3. Step 3: Cross multiply
    4,187.52x = 6,282.72 × 1,590.84
  4. Step 4: Simplify right side
    4,187.52x = 9,994,802.28
  5. Step 5: Solve for x
    x = 9,994,802.28/4,187.52
  6. Step 6: Final answer
    x = 2,386.81

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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.