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Finding the Fourth Proportional to 5,058.65, 7,584.84 and 1,772.08

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Solution

The fourth proportional to 5,058.65, 7,584.84 and 1,772.08 is: 2,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.65 : 7,584.84 = 1,772.08 : x
  2. Step 2: Convert to fraction form
    5,058.65/7,584.84 = 1,772.08/x
  3. Step 3: Cross multiply
    5,058.65x = 7,584.84 × 1,772.08
  4. Step 4: Simplify right side
    5,058.65x = 13,440,924.31
  5. Step 5: Solve for x
    x = 13,440,924.31/5,058.65
  6. Step 6: Final answer
    x = 2,657.02

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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.