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Finding the Fourth Proportional to 4,607.88, 6,914.70 and 4,312.68

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Solution

The fourth proportional to 4,607.88, 6,914.70 and 4,312.68 is: 6,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.88 : 6,914.70 = 4,312.68 : x
  2. Step 2: Convert to fraction form
    4,607.88/6,914.70 = 4,312.68/x
  3. Step 3: Cross multiply
    4,607.88x = 6,914.70 × 4,312.68
  4. Step 4: Simplify right side
    4,607.88x = 29,820,888.40
  5. Step 5: Solve for x
    x = 29,820,888.40/4,607.88
  6. Step 6: Final answer
    x = 6,471.72

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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.