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Finding the Fourth Proportional to 4,377.81, 6,565 and 1,913.79

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Solution

The fourth proportional to 4,377.81, 6,565 and 1,913.79 is: 2,869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.81 : 6,565 = 1,913.79 : x
  2. Step 2: Convert to fraction form
    4,377.81/6,565 = 1,913.79/x
  3. Step 3: Cross multiply
    4,377.81x = 6,565 × 1,913.79
  4. Step 4: Simplify right side
    4,377.81x = 12,564,031.35
  5. Step 5: Solve for x
    x = 12,564,031.35/4,377.81
  6. Step 6: Final answer
    x = 2,869.94

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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.