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Finding the Fourth Proportional to 5,298.61, 7,946.70 and 2,377.75

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Solution

The fourth proportional to 5,298.61, 7,946.70 and 2,377.75 is: 3,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.61 : 7,946.70 = 2,377.75 : x
  2. Step 2: Convert to fraction form
    5,298.61/7,946.70 = 2,377.75/x
  3. Step 3: Cross multiply
    5,298.61x = 7,946.70 × 2,377.75
  4. Step 4: Simplify right side
    5,298.61x = 18,895,265.93
  5. Step 5: Solve for x
    x = 18,895,265.93/5,298.61
  6. Step 6: Final answer
    x = 3,566.08

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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.