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Finding the Fourth Proportional to 4,817.61, 7,225.51 and 1,530.74

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Solution

The fourth proportional to 4,817.61, 7,225.51 and 1,530.74 is: 2,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.61 : 7,225.51 = 1,530.74 : x
  2. Step 2: Convert to fraction form
    4,817.61/7,225.51 = 1,530.74/x
  3. Step 3: Cross multiply
    4,817.61x = 7,225.51 × 1,530.74
  4. Step 4: Simplify right side
    4,817.61x = 11,060,377.18
  5. Step 5: Solve for x
    x = 11,060,377.18/4,817.61
  6. Step 6: Final answer
    x = 2,295.82

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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.