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Finding the Fourth Proportional to 5,830.74, 8,746.32 and 1,448.22

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Solution

The fourth proportional to 5,830.74, 8,746.32 and 1,448.22 is: 2,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.74 : 8,746.32 = 1,448.22 : x
  2. Step 2: Convert to fraction form
    5,830.74/8,746.32 = 1,448.22/x
  3. Step 3: Cross multiply
    5,830.74x = 8,746.32 × 1,448.22
  4. Step 4: Simplify right side
    5,830.74x = 12,666,595.55
  5. Step 5: Solve for x
    x = 12,666,595.55/5,830.74
  6. Step 6: Final answer
    x = 2,172.38

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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.