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Finding the Fourth Proportional to 5,256.74, 7,884.34 and 1,698.38

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Solution

The fourth proportional to 5,256.74, 7,884.34 and 1,698.38 is: 2,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.74 : 7,884.34 = 1,698.38 : x
  2. Step 2: Convert to fraction form
    5,256.74/7,884.34 = 1,698.38/x
  3. Step 3: Cross multiply
    5,256.74x = 7,884.34 × 1,698.38
  4. Step 4: Simplify right side
    5,256.74x = 13,390,605.37
  5. Step 5: Solve for x
    x = 13,390,605.37/5,256.74
  6. Step 6: Final answer
    x = 2,547.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.