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Finding the Fourth Proportional to 4,688, 7,029.68 and 1,566.93

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Solution

The fourth proportional to 4,688, 7,029.68 and 1,566.93 is: 2,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688 : 7,029.68 = 1,566.93 : x
  2. Step 2: Convert to fraction form
    4,688/7,029.68 = 1,566.93/x
  3. Step 3: Cross multiply
    4,688x = 7,029.68 × 1,566.93
  4. Step 4: Simplify right side
    4,688x = 11,015,016.48
  5. Step 5: Solve for x
    x = 11,015,016.48/4,688
  6. Step 6: Final answer
    x = 2,349.62

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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.