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Finding the Fourth Proportional to 4,602.50, 6,903.71 and 1,315.58

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Solution

The fourth proportional to 4,602.50, 6,903.71 and 1,315.58 is: 1,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.50 : 6,903.71 = 1,315.58 : x
  2. Step 2: Convert to fraction form
    4,602.50/6,903.71 = 1,315.58/x
  3. Step 3: Cross multiply
    4,602.50x = 6,903.71 × 1,315.58
  4. Step 4: Simplify right side
    4,602.50x = 9,082,372.06
  5. Step 5: Solve for x
    x = 9,082,372.06/4,602.50
  6. Step 6: Final answer
    x = 1,973.36

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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.