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Finding the Fourth Proportional to 5,258.61, 7,888.71 and 1,927.02

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Solution

The fourth proportional to 5,258.61, 7,888.71 and 1,927.02 is: 2,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.61 : 7,888.71 = 1,927.02 : x
  2. Step 2: Convert to fraction form
    5,258.61/7,888.71 = 1,927.02/x
  3. Step 3: Cross multiply
    5,258.61x = 7,888.71 × 1,927.02
  4. Step 4: Simplify right side
    5,258.61x = 15,201,701.94
  5. Step 5: Solve for x
    x = 15,201,701.94/5,258.61
  6. Step 6: Final answer
    x = 2,890.82

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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.