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Finding the Fourth Proportional to 5,730.60, 8,602.30 and 5,354.60

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Solution

The fourth proportional to 5,730.60, 8,602.30 and 5,354.60 is: 8,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.60 : 8,602.30 = 5,354.60 : x
  2. Step 2: Convert to fraction form
    5,730.60/8,602.30 = 5,354.60/x
  3. Step 3: Cross multiply
    5,730.60x = 8,602.30 × 5,354.60
  4. Step 4: Simplify right side
    5,730.60x = 46,061,875.58
  5. Step 5: Solve for x
    x = 46,061,875.58/5,730.60
  6. Step 6: Final answer
    x = 8,037.88

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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.