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Finding the Fourth Proportional to 4,695.71, 7,043.13 and 1,409.54

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Solution

The fourth proportional to 4,695.71, 7,043.13 and 1,409.54 is: 2,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.71 : 7,043.13 = 1,409.54 : x
  2. Step 2: Convert to fraction form
    4,695.71/7,043.13 = 1,409.54/x
  3. Step 3: Cross multiply
    4,695.71x = 7,043.13 × 1,409.54
  4. Step 4: Simplify right side
    4,695.71x = 9,927,538.24
  5. Step 5: Solve for x
    x = 9,927,538.24/4,695.71
  6. Step 6: Final answer
    x = 2,114.17

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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.