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Finding the Fourth Proportional to 4,695.86, 7,043.81 and 1,409.00

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Solution

The fourth proportional to 4,695.86, 7,043.81 and 1,409.00 is: 2,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.86 : 7,043.81 = 1,409.00 : x
  2. Step 2: Convert to fraction form
    4,695.86/7,043.81 = 1,409.00/x
  3. Step 3: Cross multiply
    4,695.86x = 7,043.81 × 1,409.00
  4. Step 4: Simplify right side
    4,695.86x = 9,924,686.03
  5. Step 5: Solve for x
    x = 9,924,686.03/4,695.86
  6. Step 6: Final answer
    x = 2,113.50

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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.