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Finding the Fourth Proportional to 5,980, 8,970.48 and 1,597.36

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Solution

The fourth proportional to 5,980, 8,970.48 and 1,597.36 is: 2,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980 : 8,970.48 = 1,597.36 : x
  2. Step 2: Convert to fraction form
    5,980/8,970.48 = 1,597.36/x
  3. Step 3: Cross multiply
    5,980x = 8,970.48 × 1,597.36
  4. Step 4: Simplify right side
    5,980x = 14,329,085.93
  5. Step 5: Solve for x
    x = 14,329,085.93/5,980
  6. Step 6: Final answer
    x = 2,396.17

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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.