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Finding the Fourth Proportional to 4,602.71, 6,903.95 and 1,315.79

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Solution

The fourth proportional to 4,602.71, 6,903.95 and 1,315.79 is: 1,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.71 : 6,903.95 = 1,315.79 : x
  2. Step 2: Convert to fraction form
    4,602.71/6,903.95 = 1,315.79/x
  3. Step 3: Cross multiply
    4,602.71x = 6,903.95 × 1,315.79
  4. Step 4: Simplify right side
    4,602.71x = 9,084,107.27
  5. Step 5: Solve for x
    x = 9,084,107.27/4,602.71
  6. Step 6: Final answer
    x = 1,973.64

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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.