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Finding the Fourth Proportional to 4,835.43, 7,253.60 and 1,547.74

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Solution

The fourth proportional to 4,835.43, 7,253.60 and 1,547.74 is: 2,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.43 : 7,253.60 = 1,547.74 : x
  2. Step 2: Convert to fraction form
    4,835.43/7,253.60 = 1,547.74/x
  3. Step 3: Cross multiply
    4,835.43x = 7,253.60 × 1,547.74
  4. Step 4: Simplify right side
    4,835.43x = 11,226,686.86
  5. Step 5: Solve for x
    x = 11,226,686.86/4,835.43
  6. Step 6: Final answer
    x = 2,321.76

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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.