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Finding the Fourth Proportional to 4,573.61, 6,821.77 and 4,435.16

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Solution

The fourth proportional to 4,573.61, 6,821.77 and 4,435.16 is: 6,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.61 : 6,821.77 = 4,435.16 : x
  2. Step 2: Convert to fraction form
    4,573.61/6,821.77 = 4,435.16/x
  3. Step 3: Cross multiply
    4,573.61x = 6,821.77 × 4,435.16
  4. Step 4: Simplify right side
    4,573.61x = 30,255,647.40
  5. Step 5: Solve for x
    x = 30,255,647.40/4,573.61
  6. Step 6: Final answer
    x = 6,615.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.