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Finding the Fourth Proportional to 4,670.06, 7,006.29 and 1,592.06

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Solution

The fourth proportional to 4,670.06, 7,006.29 and 1,592.06 is: 2,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.06 : 7,006.29 = 1,592.06 : x
  2. Step 2: Convert to fraction form
    4,670.06/7,006.29 = 1,592.06/x
  3. Step 3: Cross multiply
    4,670.06x = 7,006.29 × 1,592.06
  4. Step 4: Simplify right side
    4,670.06x = 11,154,457.54
  5. Step 5: Solve for x
    x = 11,154,457.54/4,670.06
  6. Step 6: Final answer
    x = 2,388.50

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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.