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Finding the Fourth Proportional to 5,319.46, 7,978.84 and 1,987.06

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Solution

The fourth proportional to 5,319.46, 7,978.84 and 1,987.06 is: 2,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.46 : 7,978.84 = 1,987.06 : x
  2. Step 2: Convert to fraction form
    5,319.46/7,978.84 = 1,987.06/x
  3. Step 3: Cross multiply
    5,319.46x = 7,978.84 × 1,987.06
  4. Step 4: Simplify right side
    5,319.46x = 15,854,433.81
  5. Step 5: Solve for x
    x = 15,854,433.81/5,319.46
  6. Step 6: Final answer
    x = 2,980.46

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1.5x scale

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.