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Finding the Fourth Proportional to 4,752.64, 7,129.25 and 1,830.95

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Solution

The fourth proportional to 4,752.64, 7,129.25 and 1,830.95 is: 2,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.64 : 7,129.25 = 1,830.95 : x
  2. Step 2: Convert to fraction form
    4,752.64/7,129.25 = 1,830.95/x
  3. Step 3: Cross multiply
    4,752.64x = 7,129.25 × 1,830.95
  4. Step 4: Simplify right side
    4,752.64x = 13,053,300.29
  5. Step 5: Solve for x
    x = 13,053,300.29/4,752.64
  6. Step 6: Final answer
    x = 2,746.54

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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.