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Finding the Fourth Proportional to 4,312.70, 6,467.45 and 1,715.10

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Solution

The fourth proportional to 4,312.70, 6,467.45 and 1,715.10 is: 2,572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.70 : 6,467.45 = 1,715.10 : x
  2. Step 2: Convert to fraction form
    4,312.70/6,467.45 = 1,715.10/x
  3. Step 3: Cross multiply
    4,312.70x = 6,467.45 × 1,715.10
  4. Step 4: Simplify right side
    4,312.70x = 11,092,323.50
  5. Step 5: Solve for x
    x = 11,092,323.50/4,312.70
  6. Step 6: Final answer
    x = 2,572.01

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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.