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Finding the Fourth Proportional to 4,681.63, 7,027.84 and 2,377.99

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Solution

The fourth proportional to 4,681.63, 7,027.84 and 2,377.99 is: 3,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.63 : 7,027.84 = 2,377.99 : x
  2. Step 2: Convert to fraction form
    4,681.63/7,027.84 = 2,377.99/x
  3. Step 3: Cross multiply
    4,681.63x = 7,027.84 × 2,377.99
  4. Step 4: Simplify right side
    4,681.63x = 16,712,098.10
  5. Step 5: Solve for x
    x = 16,712,098.10/4,681.63
  6. Step 6: Final answer
    x = 3,569.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.