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Finding the Fourth Proportional to 3,125.42, 4,687.50 and 904.51

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Solution

The fourth proportional to 3,125.42, 4,687.50 and 904.51 is: 1,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.42 : 4,687.50 = 904.51 : x
  2. Step 2: Convert to fraction form
    3,125.42/4,687.50 = 904.51/x
  3. Step 3: Cross multiply
    3,125.42x = 4,687.50 × 904.51
  4. Step 4: Simplify right side
    3,125.42x = 4,239,867.19
  5. Step 5: Solve for x
    x = 4,239,867.19/3,125.42
  6. Step 6: Final answer
    x = 1,356.58

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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.