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Finding the Fourth Proportional to 5,584.80, 8,416.43 and 5,030.21

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Solution

The fourth proportional to 5,584.80, 8,416.43 and 5,030.21 is: 7,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.80 : 8,416.43 = 5,030.21 : x
  2. Step 2: Convert to fraction form
    5,584.80/8,416.43 = 5,030.21/x
  3. Step 3: Cross multiply
    5,584.80x = 8,416.43 × 5,030.21
  4. Step 4: Simplify right side
    5,584.80x = 42,336,397.83
  5. Step 5: Solve for x
    x = 42,336,397.83/5,584.80
  6. Step 6: Final answer
    x = 7,580.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.