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Finding the Fourth Proportional to 4,497.45, 6,746.22 and 1,575.75

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Solution

The fourth proportional to 4,497.45, 6,746.22 and 1,575.75 is: 2,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.45 : 6,746.22 = 1,575.75 : x
  2. Step 2: Convert to fraction form
    4,497.45/6,746.22 = 1,575.75/x
  3. Step 3: Cross multiply
    4,497.45x = 6,746.22 × 1,575.75
  4. Step 4: Simplify right side
    4,497.45x = 10,630,356.17
  5. Step 5: Solve for x
    x = 10,630,356.17/4,497.45
  6. Step 6: Final answer
    x = 2,363.64

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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.