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Finding the Fourth Proportional to 4,693, 7,038.14 and 1,405.24

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Solution

The fourth proportional to 4,693, 7,038.14 and 1,405.24 is: 2,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693 : 7,038.14 = 1,405.24 : x
  2. Step 2: Convert to fraction form
    4,693/7,038.14 = 1,405.24/x
  3. Step 3: Cross multiply
    4,693x = 7,038.14 × 1,405.24
  4. Step 4: Simplify right side
    4,693x = 9,890,275.85
  5. Step 5: Solve for x
    x = 9,890,275.85/4,693
  6. Step 6: Final answer
    x = 2,107.45

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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.