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Finding the Fourth Proportional to 5,830.90, 8,746.31 and 1,448.35

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Solution

The fourth proportional to 5,830.90, 8,746.31 and 1,448.35 is: 2,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.90 : 8,746.31 = 1,448.35 : x
  2. Step 2: Convert to fraction form
    5,830.90/8,746.31 = 1,448.35/x
  3. Step 3: Cross multiply
    5,830.90x = 8,746.31 × 1,448.35
  4. Step 4: Simplify right side
    5,830.90x = 12,667,718.09
  5. Step 5: Solve for x
    x = 12,667,718.09/5,830.90
  6. Step 6: Final answer
    x = 2,172.52

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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.